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Popular >

(dy)/(dx)+9y=5

Solution

\frac{d y}{d x} + 9 y = 5

Solution

y = - \frac{e ^{- 9 x - c_{1}}}{9} + \frac{5}{9}

Solution steps

\frac{d y}{d x} + 9 y = 5

Solve separable ODE:

y = - \frac{e ^{- 9 x - c_{1}}}{9} + \frac{5}{9}

y = - \frac{e ^{- 9 x - c_{1}}}{9} + \frac{5}{9}

Popular Examples

t^{2} y^{^{'}} + y^{2} = t y

derivative of (3x^2+x)(5x^3+1)derivative of

(3 x^{2} + x) (5 x^{3} + 1)

integral of (-1)/(e^x)

\int \frac{- 1}{e ^{x}} d x

integral of x(x^4+1/4 x)

\int x (x^{4} + \frac{1}{4} x) d x

integral of y^3e^{y^4}

\int y^{3} e^{y^{4}} d y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+9y=5 ?
The solution for (dy)/(dx)+9y=5 is y=-(e^{-9x-c_{1}})/9+5/9