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Popular >

y-xy^'=a(1+x^2y^')

Solution

y - x y^{^{'}} = a (1 + x^{2} y^{^{'}})

Solution

y = - \frac{a c _{1} x}{1 + a x} + a

Solution steps

y - x y^{'} (x) = a (1 + x^{2} y^{'} (x))

Solve separable ODE:

y = - \frac{a c _{1} x}{1 + a x} + a

y = - \frac{a c _{1} x}{1 + a x} + a

Popular Examples

limit as x approaches 3 of (2x-9)/(x-3)

x \to 3 lim (\frac{2 x - 9}{x - 3})

(\partial)/(\partial x)(x^3yz^2+8yz)

\frac{\partial}{\partial x} (x^{3} y z^{2} + 8 yz)

integral of 1/(cos^2(x)+5cos(x)+6)

\int \frac{1}{cos ^{2} ( x ) + 5 cos ( x ) + 6} d x

integral of 10x^3+2x^2+1/2 x+3

\int 10 x^{3} + 2 x^{2} + \frac{1}{2} x + 3 d x

(dy)/(dx)=(y-5)^2

\frac{d y}{d x} = (y - 5)^{2}

Frequently Asked Questions (FAQ)

What is the solution for y-xy^'=a(1+x^2y^') ?
The solution for y-xy^'=a(1+x^2y^') is y=-(ac_{1}x)/(1+ax)+a