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Popular >

(dy)/(dt)=2ty^2

Solution

\frac{d y}{d t} = 2 t y^{2}

Solution

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

Solution steps

\frac{d y}{d t} = 2 t y^{2}

Solve separable ODE:

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

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

Popular Examples

integral of (x-2pi)

\int (x - 2 π) d x

integral of (sin^4(x)+cos^4(x))

\int (sin^{4} (x) + cos^{4} (x)) d x

(dy}{dx}=\frac{2y)/x+y

\frac{d y}{d x} = \frac{2 y}{x} + y

d/(ds)(s/(s^2+k^2))

\frac{d}{d s} (\frac{s}{s ^{2} + k ^{2}})

limit as x approaches a of (x-1)^2

x \to a lim ((x - 1)^{2})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=2ty^2 ?
The solution for (dy)/(dt)=2ty^2 is y=-1/(t^2+c_{1)}