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Popular >

(dy)/(dt)=2(t+1)y

Solution

\frac{d y}{d t} = 2 (t + 1) y

Solution

y = e^{t^{2} + 2 t + c_{1}}

Solution steps

\frac{d y}{d t} = 2 (t + 1) y

Solve separable ODE:

y = e^{t^{2} + 2 t + c_{1}}

y = e^{t^{2} + 2 t + c_{1}}

Popular Examples

integral from-1 to 3 of sqrt(1+(2y+2)^2)

\int_{- 1}^{3} 1 + (2 y + 2)^{2} d y

tangent of x^3,\at x=-2 tangent of

x^{3}, at x = - 2

derivative of (sqrt(s)-7)/(sqrt(s)+5)derivative of

\frac{s - 7}{s + 5}

integral of tan(7xse)c^27x

\int tan (7 x se) c^{2} 7 x d x

integral of e^{-2x}cos(3x)

\int e^{- 2 x} cos (3 x) d x

Frequently Asked Questions (FAQ)

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