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Popular >

3y^'=y

Solution

3 y^{^{'}} = y

Solution

y = e^{\frac{t + c _{1}}{3}}

Solution steps

3 y^{'} (t) = y

Solve separable ODE:

y = e^{\frac{t + c _{1}}{3}}

y = e^{\frac{t + c _{1}}{3}}

Graph

Popular Examples

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y^{^{'}} = \frac{y}{1 - x ^{2}}

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\frac{d y}{d x} = 7 4 x y

(dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1

\frac{d y}{d t} + [1 + t^{2}] \cdot e^{- t} y = 0, y [0] = 1

\frac{d v}{d t} + 2 v = 9

(dz)/(dt)+e^{2t+2z}=0

\frac{d z}{d t} + e^{2 t + 2 z} = 0

Frequently Asked Questions (FAQ)

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