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Popular >

y^{''}-y^'-1=0

Solution

y^{^{''}} - y^{^{'}} - 1 = 0

Solution

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

Solution steps

y^{''} (t) - y^{'} (t) - 1 = 0

Solve linear ODE:

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

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

Graph

Popular Examples

y^{'''}+3y^{''}-4y^'-12y=10e^{3x}

y^{^{'''}} + 3 y^{^{''}} - 4 y^{^{'}} - 12 y = 10 e^{3 x}

(d^2y)/(dx^2)+9y=tan(3x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = tan (3 x)

y^{''}-4y^'+3y=96e^{-5t}-24e^{-3t}+18

y^{^{''}} - 4 y^{^{'}} + 3 y = 96 e^{- 5 t} - 24 e^{- 3 t} + 18

y^{''}+6y^'+9y=xe^{2x}

y^{^{''}} + 6 y^{^{'}} + 9 y = x e^{2 x}

x^{''}+4x^'+6x=1+e^{-t}

x^{^{''}} + 4 x^{^{'}} + 6 x = 1 + e^{- t}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-y^'-1=0 ?
The solution for y^{''}-y^'-1=0 is y=c_{1}e^t+c_{2}-t