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Popular >

x^{''}-x=1

Solution

x^{^{''}} - x = 1

Solution

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

Solution steps

x^{''} (t) - x = 1

Solve linear ODE:

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

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

Graph

Popular Examples

2y^{''}-4y^'+4y=e^xtan(x)sec(x)

2 y^{^{''}} - 4 y^{^{'}} + 4 y = e^{x} tan (x) sec (x)

x^{''}+49x=99cos(4t)

x^{^{''}} + 49 x = 99 cos (4 t)

y^{''}-8y^'+20y=100x^2-65

y^{^{''}} - 8 y^{^{'}} + 20 y = 100 x^{2} - 65

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

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

y^{''}-4y^'+4y=(x+1)*e^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = (x + 1) \cdot e^{2 x}

Frequently Asked Questions (FAQ)

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