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Beliebt Rechnen >

(dP)/(dt)=Psqrt(t),P(1)=2

Lösung

\frac{d P}{d t} = P t, P (1) = 2

Lösung

P = 2 e^{\frac{2 t ^{\frac{3}{2}} - 2}{3}}

Schritte zur Lösung

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

Solve separable ODE:

P = 2 e^{\frac{2 t ^{\frac{3}{2}} - 2}{3}}

P = 2 e^{\frac{2 t ^{\frac{3}{2}} - 2}{3}}

Graph

Beliebte Beispiele

(d^2)/(dx^2)((-5x+6)^5)

\frac{d ^{2}}{d x ^{2}} ((- 5 x + 6)^{5})

y^{''}+y^'+3y=0

y^{^{''}} + y^{^{'}} + 3 y = 0

derivative f(x)=(2x^2-x+1)*(x^2+2x+3)

d er i v a t i v e f (x) = (2 x^{2} - x + 1) \cdot (x^{2} + 2 x + 3)

integral of 1/((x-1)(x+4))

\int \frac{1}{( x - 1 ) ( x + 4 )} d x

derivative x^2*arctan(x)

d er i v a t i v e x^{2} \cdot arctan (x)