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Popular >

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

Solution

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

Solution

y = c_{1} e^{x} + c_{2} e^{- x} - 4 x - 3

Solution steps

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - 4 x - 3

y = c_{1} e^{x} + c_{2} e^{- x} - 4 x - 3

Graph

Popular Examples

y^{''}-15y^'+54y=39+54x

y^{^{''}} - 15 y^{^{'}} + 54 y = 39 + 54 x

x^{''}+3x^'+2x=1,x(0)=0,x^'(0)=0

x^{^{''}} + 3 x^{^{'}} + 2 x = 1, x (0) = 0, x^{^{'}} (0) = 0

y^{^{''}} - 9 y = 54 t

y^{''}+10y^'+25y=(e^{-5x})/(x^6)

y^{^{''}} + 10 y^{^{'}} + 25 y = \frac{e ^{- 5 x}}{x ^{6}}

y^{''}-4y^'+8y=12xe^{2x}+6e^{2x}

y^{^{''}} - 4 y^{^{'}} + 8 y = 12 x e^{2 x} + 6 e^{2 x}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-y=4x+3 ?
The solution for y^{''}-y=4x+3 is y=c_{1}e^x+c_{2}e^{-x}-4x-3