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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

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

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

y^{''}+4y^'+8y=sin(x)

y^{^{''}} + 4 y^{^{'}} + 8 y = sin (x)

y^{''}+2y^'+5y=12cos(2x)+3sin(2x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 12 cos (2 x) + 3 sin (2 x)

y^{''}+4y=2x,y(0)=1,y^'(0)=2

y^{^{''}} + 4 y = 2 x, y (0) = 1, y^{^{'}} (0) = 2

(d^2u)/(dx^2)-u=6

\frac{d ^{2} u}{d x ^{2}} - u = 6

Frequently Asked Questions (FAQ)

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