Verify that the following function y^2=e^{(2x)}+C is a solution of

Davon Trujillo

Davon Trujillo

Answered question

2022-04-21

Verify that the following function y2=e(2x)+C is a solution of the ODE: yy=e(2x)

Answer & Explanation

j3jell5

j3jell5

Beginner2022-04-22Added 17 answers

Step 1
Let CR and IR some interval, such that a function y:IR with y2=e2x+C exists and is differentiable.
Then by product or chain rule 2y(x)y(x)=(y2)(x)=2e2x. Now devide both sides by 2.

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