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Beliebt Rechnen >

(y^'-e^{-t}+6)/y =-6

Lösung

\frac{y ^{^{'}} - e ^{- t} + 6}{y} = - 6

Lösung

y = \frac{1}{5 e ^{t}} - 1 + \frac{c _{1}}{e ^{6 t}}

Schritte zur Lösung

\frac{y ^{'} ( t ) - e ^{- t} + 6}{y} = - 6

Solve linear ODE:

y = \frac{1}{5 e ^{t}} - 1 + \frac{c _{1}}{e ^{6 t}}

y = \frac{1}{5 e ^{t}} - 1 + \frac{c _{1}}{e ^{6 t}}

Graph

Beliebte Beispiele

2ty^'-y=2ty^3cos(t)

2 t y^{^{'}} - y = 2 t y^{3} cos (t)

tangent y=3x^4,(-2,48)

t an g e n t y = 3 x^{4}, (- 2, 48)

derivative of t^x

\frac{d}{d x} (t^{x})

derivative of sec(pi/3)

\frac{d}{d x} (sec (\frac{π}{3}))

(x+2)^2y^'+5(x+2)y=16,y(0)=4

(x + 2)^{2} y^{^{'}} + 5 (x + 2) y = 16, y (0) = 4