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Popular Calculus >

(d^2y)/(dx^2)+4y=0

Solution

\frac{d ^{2} y}{d x ^{2}} + 4 y = 0

Solution

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 4 y = 0

Solve linear ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (d^2y)/(dx^2)+4y=0 ?
The solution for (d^2y)/(dx^2)+4y=0 is y=c_{1}cos(2x)+c_{2}sin(2x)