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Popular >

(dy)/(dx)=2x(1+y)

Solution

\frac{d y}{d x} = 2 x (1 + y)

Solution

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

Solution steps

\frac{d y}{d x} = 2 x (1 + y)

Solve separable ODE:

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

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

Popular Examples

integral of 3sqrt(x^2)

\int 3 x^{2} d x

(\partial)/(\partial y)(ln(sqrt(1+xy)))

\frac{\partial}{\partial y} (ln (1 + x y))

integral of 1/(sqrt(x^2+4x+1))

\int \frac{1}{x ^{2} + 4 x + 1} d x

(\partial)/(\partial x)(5xy(9-x-y))

\frac{\partial}{\partial x} (5 x y (9 - x - y))

derivative of e^x-3x derivative of

e^{x} - 3 x

Frequently Asked Questions (FAQ)

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