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Popular Calculus >

(d^2y)/(dx^2)=-25y

Solution

\frac{d ^{2} y}{d x ^{2}} = - 25 y

Solution

y = c_{1} cos (5 x) + c_{2} sin (5 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} = - 25 y

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x)

y = c_{1} cos (5 x) + c_{2} sin (5 x)

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (d^2y)/(dx^2)=-25y ?
The solution for (d^2y)/(dx^2)=-25y is y=c_{1}cos(5x)+c_{2}sin(5x)