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Popular >

y-y^'-6y=18

Solution

y - y^{^{'}} - 6 y = 18

Solution

y = \frac{e ^{- 5 t - c_{1}}}{5} - \frac{18}{5}

Solution steps

y - y^{'} (t) - 6 y = 18

Solve separable ODE:

y = \frac{e ^{- 5 t - c_{1}}}{5} - \frac{18}{5}

y = \frac{e ^{- 5 t - c_{1}}}{5} - \frac{18}{5}

Graph

Popular Examples

(dy)/(dx)=(1+x)/(xy)

\frac{d y}{d x} = \frac{1 + x}{x y}

y^{^{'}} = (y - 50)^{2}

(dv)/(dt)=60-7/100 v,v=0,t=0

\frac{d v}{d t} = 60 - \frac{7}{100} v, v = 0, t = 0

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

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

y^'=(y-1)^2,y(0)=1.01

y^{^{'}} = (y - 1)^{2}, y (0) = 1.01

Frequently Asked Questions (FAQ)

What is the solution for y-y^'-6y=18 ?
The solution for y-y^'-6y=18 is y=(e^{-5t-c_{1}})/5-18/5