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Popular >

(dy)/(dx)=5xy^2

Solution

\frac{d y}{d x} = 5 x y^{2}

Solution

y = - \frac{2}{5 x ^{2} + c _{1}}

Solution steps

\frac{d y}{d x} = 5 x y^{2}

Solve separable ODE:

y = - \frac{2}{5 x ^{2} + c _{1}}

y = - \frac{2}{5 x ^{2} + c _{1}}

Popular Examples

(dy)/(dx)=y^{1/3},y(0)=0

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

(dP)/(dt)=sqrt(Pt),P(1)=7

\frac{d P}{d t} = Pt, P (1) = 7

x^{2} y^{^{'}} - y = 0

(dy)/(dx)+((1+y^3)x)/(y^2(1+x^2))=0

\frac{d y}{d x} + \frac{( 1 + y ^{3} ) x}{y ^{2} ( 1 + x ^{2} )} = 0

(2y+3)dy=(x^2+6x)dx

(2 y + 3) d y = (x^{2} + 6 x) d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5xy^2 ?
The solution for (dy)/(dx)=5xy^2 is y=-2/(5x^2+c_{1)}