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Beliebt Rechnen >

y^'+2y=e^t

Lösung

y^{^{'}} + 2 y = e^{t}

Lösung

y = \frac{e ^{t}}{3} + \frac{c _{1}}{e ^{2 t}}

Schritte zur Lösung

y^{'} (t) + 2 y = e^{t}

Solve linear ODE:

y = \frac{e ^{t}}{3} + \frac{c _{1}}{e ^{2 t}}

y = \frac{e ^{t}}{3} + \frac{c _{1}}{e ^{2 t}}

Graph

Beliebte Beispiele

integral of (3-x)7^{(3-x)^2}

\int (3 - x) 7^{(3 - x)^{2}} d x

y^'=(7x^4e^{y/x}+x^2y^2)/(x^3y)

y^{^{'}} = \frac{7 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

derivative of 3/2 tan(x)

\frac{d}{d x} (\frac{3}{2} tan (x))

integral of y/(y^2+9)

\int \frac{y}{y ^{2} + 9} d y

laplacetransform e^7

l a pl a ce t r an s f or m e^{7}