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Popular >

y^{''}+6y^'=2

Solution

y^{^{''}} + 6 y^{^{'}} = 2

Solution

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

Solution steps

y^{''} (t) + 6 y^{'} (t) = 2

Solve linear ODE:

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

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

Graph

Popular Examples

y^{^{''}} + 6 y^{^{'}} = 1

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

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

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

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

y^{''}-2y^'-3y=3*e^{-t}

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 \cdot e^{- t}

y^{''}-y^'-a^2=0

y^{^{''}} - y^{^{'}} - a^{2} = 0

Frequently Asked Questions (FAQ)

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