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Popular >

(dy)/(dx)-x=xy^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

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5 y^{4} \frac{d y}{d x} = 12 x

x^'=((x^2-1))/2

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

(dh)/(dt)=-3/100 sqrt(h-15)

\frac{d h}{d t} = - \frac{3}{100} h - 15

x^2(\H(x)x)(\H(x)dx+xd\H(x))=0

x^{2} (H (x) x) (H (x) d x + x d H (x)) = 0

4y^2(xdy+ydx)=ydx-xdy

4 y^{2} (x d y + y d x) = y d x - x d y

Frequently Asked Questions (FAQ)

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