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Popular >

y^'+3y=1

Solution

y^{^{'}} + 3 y = 1

Solution

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

Solution steps

y^{'} (t) + 3 y = 1

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=x^2y^3

\frac{d y}{d x} = x^{2} y^{3}

y^{''}+6y^'+9y=3x+5,y(0)=1,y^'(0)=-1

y^{^{''}} + 6 y^{^{'}} + 9 y = 3 x + 5, y (0) = 1, y^{^{'}} (0) = - 1

integral from 0 to 1 of (x^3+x)

\int_{0}^{1} (x^{3} + x) d x

integral of 2xyz

\int 2 x yz d y

(\partial)/(\partial y)(y-1/x)

\frac{\partial}{\partial y} (y - \frac{1}{x})

Frequently Asked Questions (FAQ)

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