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###### Pappu posted an Question
July 02, 2022 • 19:58 pm 1 points
• IIT JAM
• Mathematics (MA)

## Example 7. show that linearly independent solutions of y" - 2y+2y =0 are e sin x and e' cos x. what is the general solution? find the solution ylc) with the con

Example 7. Show that linearly independent solutions of y" - 2y+2y =0 are e sin x and e' cos x. What is the general solution? Find the solution ylc) with the conditions y(0) = 2, y'(0) = -3.

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• ##### Pappu Debnath

owao thanks sir

• ##### Dr. avtar chand

Given equation is homogeneous diff. equation with constant coefficient. We know that linear combination of solutions is also the solution of homogeneous ODE with constant coefficient. complete solution attached herewith

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