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Popular >

y^{''}-y+3=0

Solution

y^{^{''}} - y + 3 = 0

Solution

y = c_{1} e^{t} + c_{2} e^{- t} + 3

Solution steps

y^{''} (t) - y + 3 = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} + 3

y = c_{1} e^{t} + c_{2} e^{- t} + 3

Graph

Popular Examples

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

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

y^{''}-2y^'-8y=3e^{3x}

y^{^{''}} - 2 y^{^{'}} - 8 y = 3 e^{3 x}

y^{''}+3y^'-5y=(4x^2-7x+0)e^{4x}

y^{^{''}} + 3 y^{^{'}} - 5 y = (4 x^{2} - 7 x + 0) e^{4 x}

y^{''}-2y^'+y=4x^2-6

y^{^{''}} - 2 y^{^{'}} + y = 4 x^{2} - 6

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

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

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-y+3=0 ?
The solution for y^{''}-y+3=0 is y=c_{1}e^t+c_{2}e^{-t}+3