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Popular >

(dy)/(dx)+9y=3

Solution

\frac{d y}{d x} + 9 y = 3

Solution

y = - \frac{e ^{- 9 x - c_{1}}}{3} + \frac{1}{3}

Solution steps

\frac{d y}{d x} + 9 y = 3

Solve separable ODE:

y = - \frac{e ^{- 9 x - c_{1}}}{3} + \frac{1}{3}

y = - \frac{e ^{- 9 x - c_{1}}}{3} + \frac{1}{3}

Popular Examples

integral of (14)/(1-cos(7x))

\int \frac{14}{1 - cos ( 7 x )} d x

y^{''}+2y=cos(t)-2*sin(2t)

y^{^{''}} + 2 y = cos (t) - 2 \cdot sin (2 t)

integral of 3e^{-3x}

\int 3 e^{- 3 x} d x

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

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

(dy}{dx}+(3y)/x =\frac{e^x)/(x^3)

\frac{d y}{d x} + \frac{3 y}{x} = \frac{e ^{x}}{x ^{3}}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+9y=3 ?
The solution for (dy)/(dx)+9y=3 is y=-(e^{-9x-c_{1}})/3+1/3