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Popular >

y^{''}-4y=5

Solution

y^{^{''}} - 4 y = 5

Solution

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{5}{4}

Solution steps

y^{''} (t) - 4 y = 5

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{5}{4}

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{5}{4}

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^{''}-3y^'+2y=3e^{2x}+2x

y^{^{''}} - 3 y^{^{'}} + 2 y = 3 e^{2 x} + 2 x

y^{''}+2y^'+5y=2cos(x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 2 cos (x)

y^{''}+4y=3sin(x)+cos(3x)

y^{^{''}} + 4 y = 3 sin (x) + cos (3 x)

y^{''}+5y^'+4y=3-2x

y^{^{''}} + 5 y^{^{'}} + 4 y = 3 - 2 x

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-4y=5 ?
The solution for y^{''}-4y=5 is y=c_{1}e^{2t}+c_{2}e^{-2t}-5/4