(dP)/(dt)=-3sqrt(P)

Lösung

\frac{d P}{d t} = - 3 P

P = \frac{9 t ^{2}}{4} - \frac{3 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d P}{d t} = - 3 P

Solve separable ODE:

P = \frac{9 t ^{2}}{4} - \frac{3 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

P = \frac{9 t ^{2}}{4} - \frac{3 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

y^{^{'}} = x y + 8 x + 5 y + 40

y^{^{'}} = 2 x^{3} \cdot y^{2}

- y^{^{'}} - 9 y = 0

\frac{d y}{d x} = x^{2} (y - 2), y (0) = 9

\frac{d y}{d x} = x^{2} (y - 2), y (0) = 8