What is the solution for (dp)/((p-2))=(1-2t)dt ?

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

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(dp)/((p-2))=(1-2t)dt

\frac{d p}{( p - 2 )} = (1 - 2 t) d t

p (t) = e^{t - t^{2} + c_{1}} + 2

Solution steps

\frac{d p ( t )}{( p ( t ) - 2 )} = (1 - 2 t) d t

Solve separable ODE:

p (t) = e^{t - t^{2} + c_{1}} + 2

p (t) = e^{t - t^{2} + c_{1}} + 2

\frac{d x}{d t} = 0.03 x + 3600 t

\frac{2}{3 x + 5}

\frac{d}{d x} (\frac{5 x}{x + 4})

\int_{- 4}^{4} (3 - ∣ x ∣) d x

y = (x^{2} + 4)^{\frac{2}{3}}, at x = 2

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