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Beliebt Rechnen >

(dy)/(dt)-3y=3e^{4t}

Lösung

\frac{d y}{d t} - 3 y = 3 e^{4 t}

Lösung

y = 3 e^{4 t} + c_{1} e^{3 t}

Schritte zur Lösung

\frac{d y}{d t} - 3 y = 3 e^{4 t}

Solve linear ODE:

y = 3 e^{4 t} + c_{1} e^{3 t}

y = 3 e^{4 t} + c_{1} e^{3 t}

Graph

Beliebte Beispiele

derivative y=2x^2log_{e}(x)-x^2

d er i v a t i v e y = 2 x^{2} lo g_{e} (x) - x^{2}

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

\frac{d y}{d x} = \frac{y}{x} + \frac{( y ^{2} )}{x ^{2}}

derivative of 3/(4x-5)

\frac{d}{d x} (\frac{3}{4 x - 5})

x y^{^{'}} = y ln (x y)

(dy)/(dx)= x/(3y^2)

\frac{d y}{d x} = \frac{x}{3 y ^{2}}