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Popular >

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

Solution

\frac{d y}{d x} = x (1 + y)

Solution

y = e^{\frac{x ^{2}}{2} + c_{1}} - 1

Solution steps

\frac{d y}{d x} = x (1 + y)

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}} - 1

y = e^{\frac{x ^{2}}{2} + c_{1}} - 1

Popular Examples

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\frac{\partial}{\partial x} (2 x y + y^{2} + 1)

integral of 3/(x^2)+4sqrt(x)

\int \frac{3}{x ^{2}} + 4 x d x

y^2dx-xydy=x^2ydy

y^{2} d x - x y d y = x^{2} y d y

area 1/2 x^2,x^2-3x area

\frac{1}{2} x^{2}, x^{2} - 3 x

integral of (sqrt(x)-x^2)

\int (x - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x(1+y) ?
The solution for (dy)/(dx)=x(1+y) is y=e^{(x^2)/2+c_{1}}-1