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Popular >

y^'=(xy+2y)/(x+3)

Solution

y^{^{'}} = \frac{x y + 2 y}{x + 3}

Solution

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

Solution steps

y^{'} (x) = \frac{x y + 2 y}{x + 3}

Solve separable ODE:

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

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

Popular Examples

x(x^3+1)y^'+(2x^3-1)y=(x^3-2)/x

x (x^{3} + 1) y^{^{'}} + (2 x^{3} - 1) y = \frac{x ^{3} - 2}{x}

integral of sqrt(x^2-49)

\int x^{2} - 49 d x

y^{''}+2y^'+2=0

y^{^{''}} + 2 y^{^{'}} + 2 = 0

(\partial)/(\partial x)(sin(xy^2)e^{2x-3y})

\frac{\partial}{\partial x} (sin (x y^{2}) e^{2 x - 3 y})

integral of 5sin(6pi)x

\int 5 sin (6 π) x d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=(xy+2y)/(x+3) ?
The solution for y^'=(xy+2y)/(x+3) is y=(e^{x+c_{1}})/(x+3)