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Popular >

(dy)/(dt)=yt^2-y

Solution

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

Solution

y = e^{\frac{t ^{3}}{3} - t + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{t ^{3}}{3} - t + c_{1}}

y = e^{\frac{t ^{3}}{3} - t + c_{1}}

Popular Examples

xy-x(dy)/(dx)=2x,y(-1)=3

x y - x \frac{d y}{d x} = 2 x, y (- 1) = 3

(dx)/(dy)=50-x/(100)

\frac{d x}{d y} = 50 - \frac{x}{100}

(dy)/(dx)=0.04-y/a

\frac{d y}{d x} = 0.04 - \frac{y}{a}

d/(dθ)(r(θ))r(θ)=(4+sec(θ))sin(θ)

\frac{d}{d θ} (r (θ)) r (θ) = (4 + sec (θ)) sin (θ)

\frac{d x}{d t} = 6 x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=yt^2-y ?
The solution for (dy)/(dt)=yt^2-y is y=e^{(t^3)/3-t+c_{1}}