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Popular >

x^2dy=(9+y^2)dx

Solution

x^{2} d y = (9 + y^{2}) d x

Solution

y = 3 tan (- \frac{3}{x} + c_{1})

Solution steps

x^{2} d y = (9 + y^{2}) d x

Solve separable ODE:

y = 3 tan (- \frac{3}{x} + c_{1})

y = 3 tan (- \frac{3}{x} + c_{1})

Popular Examples

(1-y^2)^{1/2}dx-(1-x^2)^{1/2}dy=0

(1 - y^{2})^{\frac{1}{2}} d x - (1 - x^{2})^{\frac{1}{2}} d y = 0

(dy)/(dx)=ysin(3x)-3ye^{-3x},y(0)=1

\frac{d y}{d x} = y sin (3 x) - 3 y e^{- 3 x}, y (0) = 1

y^'+ytan(x)=0,y(0)=acos(x)

y^{^{'}} + y tan (x) = 0, y (0) = a cos (x)

x^2(xdy+ydx)=8xdy-8ydx

x^{2} (x d y + y d x) = 8 x d y - 8 y d x

3 y^{^{'}} = - 9 y

Frequently Asked Questions (FAQ)

What is the solution for x^2dy=(9+y^2)dx ?
The solution for x^2dy=(9+y^2)dx is y=3tan(-3/x+c_{1})