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Popular >

y^{''}-3y^'=-9

Solution

y^{^{''}} - 3 y^{^{'}} = - 9

Solution

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

Solution steps

y^{''} (t) - 3 y^{'} (t) = - 9

Solve linear ODE:

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

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

Popular Examples

integral of (x^3)/(sqrt(25-x^2))

\int \frac{x ^{3}}{25 - x ^{2}} d x

integral from 0 to 2 of 3ysqrt(4-y^2)

\int_{0}^{2} 3 y 4 - y^{2} d y

y^{''}+y^'-6y=0,y(0)=3

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = 3

x(dy)/(dx)-2y=x^2

x \frac{d y}{d x} - 2 y = x^{2}

d/(dy)(-e^{-xy})

\frac{d}{d y} (- e^{- x y})

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-3y^'=-9 ?
The solution for y^{''}-3y^'=-9 is y=c_{1}e^{3t}+c_{2}+3t