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Popular >

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

Solution

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

Solution

y = tan (\frac{x ^{2}}{2} + c_{1})

Solution steps

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

Solve separable ODE:

y = tan (\frac{x ^{2}}{2} + c_{1})

y = tan (\frac{x ^{2}}{2} + c_{1})

Popular Examples

(\partial)/(\partial x)(sin(x)cos(y))

\frac{\partial}{\partial x} (sin (x) cos (y))

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

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

integral of a^u

\int a^{u} d u

derivative of 3/(t^2)derivative of

\frac{3}{t ^{2}}

integral of cos^3(θ)

\int cos^{3} (θ) d θ

Frequently Asked Questions (FAQ)

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