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Popular >

y^{''}+3y^'=18

Solution

y^{^{''}} + 3 y^{^{'}} = 18

Solution

y = c_{1} + c_{2} e^{- 3 t} + 6 t

Solution steps

y^{''} (t) + 3 y^{'} (t) = 18

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 t} + 6 t

y = c_{1} + c_{2} e^{- 3 t} + 6 t

Graph

Popular Examples

y^{''}-2y^'+2y=e^{-t},y(0)=0,y^'(0)=7

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 7

(d^2y)/(dx^2)+y=4x

\frac{d ^{2} y}{d x ^{2}} + y = 4 x

y^{''}+5y^'+6y=1+e^{-t}

y^{^{''}} + 5 y^{^{'}} + 6 y = 1 + e^{- t}

y^{''}+2y^'-8=0

y^{^{''}} + 2 y^{^{'}} - 8 = 0

0.5q^{''}+20q^'+1/(0.0025)q=100

0.5 q^{^{''}} + 20 q^{^{'}} + \frac{1}{0.0025} q = 100

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+3y^'=18 ?
The solution for y^{''}+3y^'=18 is y=c_{1}+c_{2}e^{-3t}+6t