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Beliebt Rechnen >

(dy)/(dt)+e^ty=9e^t

Lösung

\frac{d y}{d t} + e^{t} y = 9 e^{t}

Lösung

y = - e^{- e^{t} - c_{1}} + 9

Schritte zur Lösung

\frac{d y}{d t} + e^{t} y = 9 e^{t}

Solve separable ODE:

y = - e^{- e^{t} - c_{1}} + 9

y = - e^{- e^{t} - c_{1}} + 9

Graph

Beliebte Beispiele

(dy)/(dx)=6y^2x

\frac{d y}{d x} = 6 y^{2} x

normal y=x^2-5x+3,(2,-3)

n or ma l y = x^{2} - 5 x + 3, (2, - 3)

sum from n=5 to infinity of 3(0.9)^{n+1}

n = 5 \sum \infty 3 (0.9)^{n + 1}

limit as x approaches 0 of x-ln(x)

x \to 0 lim (x - ln (x))

y^{^{'}} + y^{5} x + 9 y = 0