What is the solution for (dy)/(dt)=(1+t)(1+y) ?

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

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

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

y = e^{t + \frac{t ^{2}}{2} + c_{1}} - 1

Solution steps

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

Solve separable ODE:

y = e^{t + \frac{t ^{2}}{2} + c_{1}} - 1

y = e^{t + \frac{t ^{2}}{2} + c_{1}} - 1

t \to 1 + lim (\frac{∣ 1 - t ∣}{1 - t})

\frac{d}{d x} (e^{x^{2} - y^{2}})

(- 5, - 8), (0, - 7)

\int cos (x) (7 + 7 sin^{2} (x)) d x

f (x) = 6 sin^{6} (x)

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