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Popular >

y^'=(x/y)^2

Solution

y^{^{'}} = (\frac{x}{y})^{2}

Solution

y = 3 x^{3} + c_{1}

Solution steps

y^{'} (x) = (\frac{x}{y})^{2}

Solve separable ODE:

y = 3 x^{3} + c_{1}

y = 3 x^{3} + c_{1}

Graph

Popular Examples

y^'=((3x^2))/((4+2y))

y^{^{'}} = \frac{( 3 x ^{2} )}{( 4 + 2 y )}

(1+x^{12})(dy}{dx}=\frac{x^{11})/y

(1 + x^{12}) \frac{d y}{d x} = \frac{x ^{11}}{y}

(dy)/(dx)=x^2y^{-7}

\frac{d y}{d x} = x^{2} y^{- 7}

(x - 2) y^{^{'}} = 3 y

y^'sec(x)=5y^2,y((9pi)/2)= 1/6

y^{^{'}} sec (x) = 5 y^{2}, y (\frac{9 π}{2}) = \frac{1}{6}

Frequently Asked Questions (FAQ)

What is the solution for y^'=(x/y)^2 ?
The solution for y^'=(x/y)^2 is y=\sqrt[3]{x^3+c_{1}}