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Popular >

x^2(dy)/(dx)+3x=-3xy

Solution

x^{2} \frac{d y}{d x} + 3 x = - 3 x y

Solution

y = \frac{c _{1}}{x ^{3}} - 1

Solution steps

x^{2} \frac{d y}{d x} + 3 x = - 3 x y

Solve separable ODE:

y = \frac{c _{1}}{x ^{3}} - 1

y = \frac{c _{1}}{x ^{3}} - 1

Popular Examples

y^{^{'}} = \frac{x y ^{3}}{4}

(dy)/(dx)=((xsqrt(4-y^2))/(sqrt(1+x^2)))

\frac{d y}{d x} = (\frac{x 4 - y ^{2}}{1 + x ^{2}})

(dy)/(dx)y= 1/(x^{10)}

\frac{d y}{d x} y = \frac{1}{x ^{10}}

e^{(x+y)}(dy)/(dx)=x

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

y^'=sqrt(y^2-4)

y^{^{'}} = y^{2} - 4

Frequently Asked Questions (FAQ)

What is the solution for x^2(dy)/(dx)+3x=-3xy ?
The solution for x^2(dy)/(dx)+3x=-3xy is y=(c_{1})/(x^3)-1