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Beliebt Rechnen >

tln(t)(dr)/(dt)+r=9te^t

Lösung

t ln (t) \frac{d r}{d t} + r = 9 t e^{t}

Lösung

r = \frac{9 e ^{t}}{ln ( t )} + \frac{c _{1}}{ln ( t )}

Schritte zur Lösung

t ln (t) \frac{d r}{d t} + r = 9 t e^{t}

Solve linear ODE:

r = \frac{9 e ^{t}}{ln ( t )} + \frac{c _{1}}{ln ( t )}

r = \frac{9 e ^{t}}{ln ( t )} + \frac{c _{1}}{ln ( t )}

Graph

Beliebte Beispiele

derivative of ((x-9/(x+2))^{3/2})

\frac{d}{d x} ((\frac{x - 9}{x + 2})^{\frac{3}{2}})

limit as x approaches infinity of 7/x-9

x \to \infty lim (\frac{7}{x} - 9)

integral of 45x^2ln(x)

\int 45 x^{2} ln (x) d x

derivative f(x)=tan(1/x)

d er i v a t i v e f (x) = tan (\frac{1}{x})

derivative of (100x/(x+y))=0

\frac{d}{d x} (\frac{100 x}{x + y}) = 0