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Popular >

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

Solution

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

Solution

x = - \frac{5 y + 1}{25} + c_{1} e^{5 y}

Solution steps

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

Solve linear ODE:

x = - \frac{5 y + 1}{25} + c_{1} e^{5 y}

x = - \frac{5 y + 1}{25} + c_{1} e^{5 y}

Popular Examples

(dy)/(dx)=y^2,y(1)=1

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integral of (2x+1)/(x(x+1)^2)

\int \frac{2 x + 1}{x ( x + 1 ) ^{2}} d x

integral of (x-2)

\int (x - 2) d x

integral from 0 to 1 of xcos(2x^2+7)

\int_{0}^{1} x cos (2 x^{2} + 7) d x

(\partial)/(\partial x)(sqrt(xy^2+y^2))

\frac{\partial}{\partial x} (x y^{2} + y^{2})

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dy)=5x+y ?
The solution for (dx)/(dy)=5x+y is x=-(5y+1)/(25)+c_{1}e^{5y}