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Popular >

y^{''}-4y=4

Solution

y^{^{''}} - 4 y = 4

Solution

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 1

Solution steps

y^{''} (t) - 4 y = 4

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 1

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 1

Graph

Popular Examples

(d^2y)/(dx^2)-2(dy)/(dx)+y=x^2-1

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = x^{2} - 1

y^{''}-4y^'+3y=6

y^{^{''}} - 4 y^{^{'}} + 3 y = 6

2y^{''}-5y^'-3y=3-x

2 y^{^{''}} - 5 y^{^{'}} - 3 y = 3 - x

y^{''}-3y^'+2y=4t+e^{3t}

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 t + e^{3 t}

2y^{''}-8y^'-4y=-5x^2-12xe^{-x}

2 y^{^{''}} - 8 y^{^{'}} - 4 y = - 5 x^{2} - 12 x e^{- x}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-4y=4 ?
The solution for y^{''}-4y=4 is y=c_{1}e^{2t}+c_{2}e^{-2t}-1