Mathematics Exam > Mathematics Questions > Let x, x e^(x) and 1 x e^(x) be solution of a...
Start Learning for Free
Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to?
Most Upvoted Answer
Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordi...
Given Information:
- Let x, x e^(x), and 1 x e^(x) be solutions of a linear second-order ordinary differential equation with constant coefficients.
- Let y(x) be a solution of the same equation satisfying y(0) = 3 and y'(e) = 4.
Find y(1):
To find y(1), we need to determine the specific solution y(x) that satisfies the initial conditions provided.
Using Initial Conditions:
Given y(0) = 3 and y'(e) = 4, we can use these initial conditions to determine the specific solution.
Applying Initial Condition y(0) = 3:
Since x and x e^(x) are solutions, we can write the general solution as y(x) = C1 + C2x + C3e^(x), where C1, C2, and C3 are constants.
y(0) = C1 + C3 = 3
Applying Initial Condition y'(e) = 4:
y'(x) = C2 + C3e^(x)
y'(e) = C2 + C3e = 4
Solving for Constants:
From y(0) = 3, we have C1 + C3 = 3, which gives us one equation.
From y'(e) = 4, we have C2 + C3e = 4, which gives us another equation.
By solving these two equations simultaneously, we can find the values of constants C1, C2, and C3.
Calculate y(1):
Once we have the specific solution y(x) that satisfies the initial conditions, we can evaluate y(1) by substituting x = 1 into the equation.
Therefore, by following the steps outlined above, we can find the specific solution y(x) that satisfies the given initial conditions and calculate y(1) accordingly.
- Let x, x e^(x), and 1 x e^(x) be solutions of a linear second-order ordinary differential equation with constant coefficients.
- Let y(x) be a solution of the same equation satisfying y(0) = 3 and y'(e) = 4.
Find y(1):
To find y(1), we need to determine the specific solution y(x) that satisfies the initial conditions provided.
Using Initial Conditions:
Given y(0) = 3 and y'(e) = 4, we can use these initial conditions to determine the specific solution.
Applying Initial Condition y(0) = 3:
Since x and x e^(x) are solutions, we can write the general solution as y(x) = C1 + C2x + C3e^(x), where C1, C2, and C3 are constants.
y(0) = C1 + C3 = 3
Applying Initial Condition y'(e) = 4:
y'(x) = C2 + C3e^(x)
y'(e) = C2 + C3e = 4
Solving for Constants:
From y(0) = 3, we have C1 + C3 = 3, which gives us one equation.
From y'(e) = 4, we have C2 + C3e = 4, which gives us another equation.
By solving these two equations simultaneously, we can find the values of constants C1, C2, and C3.
Calculate y(1):
Once we have the specific solution y(x) that satisfies the initial conditions, we can evaluate y(1) by substituting x = 1 into the equation.
Therefore, by following the steps outlined above, we can find the specific solution y(x) that satisfies the given initial conditions and calculate y(1) accordingly.
|
Explore Courses for Mathematics exam
|
|
Similar Mathematics Doubts
Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to?
Question Description
Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to?.
Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to?.
Solutions for Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? in English & in Hindi are available as part of our courses for Mathematics.
Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? defined & explained in the simplest way possible. Besides giving the explanation of
Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to?, a detailed solution for Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? has been provided alongside types of Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? theory, EduRev gives you an
ample number of questions to practice Let x, x e^(x) and 1 x e^(x) be solution of a linear second order ordinary differential eqn with constant coefficiental.if y(x) is the solution of the same eqf satisfying y(0)=3 and y'(e)=4 then y(1) is equal to? tests, examples and also practice Mathematics tests.
|
|
Explore Courses for Mathematics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup