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Popular >

(dy)/(dx)=1+5y

Solution

\frac{d y}{d x} = 1 + 5 y

Solution

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

Solution steps

\frac{d y}{d x} = 1 + 5 y

Solve separable ODE:

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

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

Popular Examples

slope of 7+4x^2-2x^3 slope

7 + 4 x^{2} - 2 x^{3}

limit as x approaches 1-of e^x

x \to 1 - lim (e^{x})

derivative of (x+6)/(x+2)derivative of

\frac{x + 6}{x + 2}

y^'+1/x y=-4y^2

y^{^{'}} + \frac{1}{x} y = - 4 y^{2}

integral from 0 to 1 of (81)/(x^5)

\int_{0}^{1} \frac{81}{x ^{5}} d x

Frequently Asked Questions (FAQ)

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