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Popular >

y^{''}-3y^'=2-6x

Solution

y^{^{''}} - 3 y^{^{'}} = 2 - 6 x

Solution

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

Solution steps

y^{''} (x) - 3 y^{'} (x) = 2 - 6 x

Solve linear ODE:

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

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

Graph

Popular Examples

y^{'''}-2y^{''}+y^'=1+xe^x

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = 1 + x e^{x}

6y^{''}+4y^'-y=25

6 y^{^{''}} + 4 y^{^{'}} - y = 25

10000x^{''}+1000x^'+22x-60000=0

10000 x^{^{''}} + 1000 x^{^{'}} + 22 x - 60000 = 0

y^{''}+3y^'+6*x=0

y^{^{''}} + 3 y^{^{'}} + 6 \cdot x = 0

y^{''}-8y^'+12y=2x(e^{2x}-e^{-2x})

y^{^{''}} - 8 y^{^{'}} + 12 y = 2 x (e^{2 x} - e^{- 2 x})

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-3y^'=2-6x ?
The solution for y^{''}-3y^'=2-6x is y=c_{1}e^{3x}+c_{2}+x^2