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Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The differential equation formed by eliminating a and b from
Reason (R):y = ae^{x} + be^{x} ….(i)Differentiating w. r. t. 'x'
Differentiating again w .r .t .'x'
Subtracting eqn. (i) from eqn. (ii)
= 0
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The solution of differential equation
Reason (R): we can clearly see that it is an homogeneous equation substituting
y = vx
separating the variables and integrating we get
is the solution where, C is constant.
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The degree of the differential equation given by
Reason (R): The degree of a differential equation is the degree of the highest order derivative when differential coefficients are free from radicals and fraction.
The given differential equation has first order derivative which is free from radical and fraction with power = 1, thus it has a degree of 1.
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The order and degree of the differential equation are 2 and 1
respectively
Reason (R): The differential equation
is of order 1 and degree 3.
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): Solution of the differential equation
Reason (R):
separating the variables
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The order of the differential equation given by
Reason (R): Since the order of a differential equation is defined as the order of the highest derivative occurring in the differential equation, i.e., for nth derivative d^{n}y/d^{x}n if n = 1. then it’s order = 1.
Given differential equation contains only dy/dx derivative with variables and constants.
204 videos288 docs139 tests

204 videos288 docs139 tests
