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# differential equation help watch

1. solve the differntial equation d2y/dy2=625y given that y=3 and dy/dx=2 at x=0.

how do i solve this?

does it involve the general solution y=Ae^25x +Ae^-25x
2. (Original post by plmqaz)
solve the differntial equation d2y/dy2=625y given that y=3 and dy/dx=2 at x=0.

how do i solve this?

does it involve the general solution y=Ae^25x +Ae^-25x
I think you might have typed the equation wrong. Did you actually mean to type

?
3. (Original post by EEngWillow)
I think you might have typed the equation wrong. Did you actually mean to type

?
i don't know how to add supersubripts.
i've just realised how to solve it thanks.
4. I assume you meant as your general solution? The constants aren't the same.

To find the particular solution, substitute x=0 and y=3; then differentiate it and set x=0 and dy/dx=2. This gives you two simultaneous equation for A and B that you can solve to find them. Then plugging these back into your general solution will give you the particular solution.

EDIT: Too late Never mind.

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