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The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.
1) Eliminate the arbitrary constants.
2) Differential equation which involves x, y, dy / dx
3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.
1) Eliminate the arbitrary constants.
2) Differential equation which involves x, y, dy / dx
3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.
- a)1, 2, 3
- b)3, 2, 1
- c)2, 1, 3
- d)3, 1, 2
Correct answer is option 'D'. Can you explain this answer?
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The process of formation of the differential equation is given in the ...
The correct order of forming differential equation is given by option 3, 1, 2, even the given differential equation can be solved by other order given in the option but the task becomes more tedious.
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The process of formation of the differential equation is given in the ...
Explanation:
To form a differential equation, we follow a specific process. The correct order of this process is as follows:
1) Eliminate the arbitrary constants.
2) Differentiate the given equation with respect to x, involving x, y, and dy/dx.
3) The resulting equation after differentiation will involve x, y, and dy/dx. This equation is the differential equation.
Step 1: Eliminate the arbitrary constants
Before forming a differential equation, we need to eliminate any arbitrary constants present in the given equation. These constants can be eliminated by using the given conditions or relationships between the variables.
Step 2: Differential equation involving x, y, and dy/dx
Once the arbitrary constants are eliminated, we differentiate the given equation with respect to x. This involves differentiating each term of the equation with respect to x, considering x, y, and dy/dx as variables.
Step 3: Differentiate the equation with respect to x
After differentiating the equation once, we may still have arbitrary constants in the resulting equation. To eliminate these constants, we differentiate the equation as many times as the number of arbitrary constants present. Each time we differentiate, we consider x, y, and dy/dx as variables and differentiate each term with respect to x.
Correct order of formation of differential equation:
Based on the above process, the correct order of formation of a differential equation is as follows:
1) Eliminate the arbitrary constants.
2) Differentiate the given equation with respect to x, involving x, y, and dy/dx.
3) Differentiate the resulting equation with respect to x as many times as the number of arbitrary constants.
Therefore, the correct option is D) 3, 1, 2.
To form a differential equation, we follow a specific process. The correct order of this process is as follows:
1) Eliminate the arbitrary constants.
2) Differentiate the given equation with respect to x, involving x, y, and dy/dx.
3) The resulting equation after differentiation will involve x, y, and dy/dx. This equation is the differential equation.
Step 1: Eliminate the arbitrary constants
Before forming a differential equation, we need to eliminate any arbitrary constants present in the given equation. These constants can be eliminated by using the given conditions or relationships between the variables.
Step 2: Differential equation involving x, y, and dy/dx
Once the arbitrary constants are eliminated, we differentiate the given equation with respect to x. This involves differentiating each term of the equation with respect to x, considering x, y, and dy/dx as variables.
Step 3: Differentiate the equation with respect to x
After differentiating the equation once, we may still have arbitrary constants in the resulting equation. To eliminate these constants, we differentiate the equation as many times as the number of arbitrary constants present. Each time we differentiate, we consider x, y, and dy/dx as variables and differentiate each term with respect to x.
Correct order of formation of differential equation:
Based on the above process, the correct order of formation of a differential equation is as follows:
1) Eliminate the arbitrary constants.
2) Differentiate the given equation with respect to x, involving x, y, and dy/dx.
3) Differentiate the resulting equation with respect to x as many times as the number of arbitrary constants.
Therefore, the correct option is D) 3, 1, 2.
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The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.1) Eliminate the arbitrary constants.2) Differential equation which involves x, y, dy / dx3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.a)1, 2, 3b)3, 2, 1c)2, 1, 3d)3, 1, 2Correct answer is option 'D'. Can you explain this answer?
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The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.1) Eliminate the arbitrary constants.2) Differential equation which involves x, y, dy / dx3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.a)1, 2, 3b)3, 2, 1c)2, 1, 3d)3, 1, 2Correct answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.1) Eliminate the arbitrary constants.2) Differential equation which involves x, y, dy / dx3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.a)1, 2, 3b)3, 2, 1c)2, 1, 3d)3, 1, 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.1) Eliminate the arbitrary constants.2) Differential equation which involves x, y, dy / dx3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.a)1, 2, 3b)3, 2, 1c)2, 1, 3d)3, 1, 2Correct answer is option 'D'. Can you explain this answer?.
The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.1) Eliminate the arbitrary constants.2) Differential equation which involves x, y, dy / dx3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.a)1, 2, 3b)3, 2, 1c)2, 1, 3d)3, 1, 2Correct answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.1) Eliminate the arbitrary constants.2) Differential equation which involves x, y, dy / dx3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.a)1, 2, 3b)3, 2, 1c)2, 1, 3d)3, 1, 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.1) Eliminate the arbitrary constants.2) Differential equation which involves x, y, dy / dx3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.a)1, 2, 3b)3, 2, 1c)2, 1, 3d)3, 1, 2Correct answer is option 'D'. Can you explain this answer?.
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