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Popular Calculus >

(d^2y)/(dx^2)+4y=8

Solution

\frac{d ^{2} y}{d x ^{2}} + 4 y = 8

Solution

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 4 y = 8

Solve linear ODE:

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

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

Graph

Popular Examples

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y^{''}-9y^'+14y=30t-34

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

y^{''}+6y^'+8y=esin(x)

Frequently Asked Questions (FAQ)

What is the solution for (d^2y)/(dx^2)+4y=8 ?
The solution for (d^2y)/(dx^2)+4y=8 is y=c_{1}cos(2x)+c_{2}sin(2x)+2