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Beliebt Rechnen >

y^'+4y=3sin(e^{4x})

Lösung

y^{^{'}} + 4 y = 3 sin (e^{4 x})

Lösung

y = - \frac{3 cos ( e ^{4 x} )}{4 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

Schritte zur Lösung

y^{'} (x) + 4 y = 3 sin (e^{4 x})

Solve linear ODE:

y = - \frac{3 cos ( e ^{4 x} )}{4 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

y = - \frac{3 cos ( e ^{4 x} )}{4 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

Graph

Beliebte Beispiele

integral of (sqrt(4x^2-16))/x

\int \frac{4 x ^{2} - 16}{x} d x

derivative of (tan(x)^{-1})

\frac{d}{d x} ((tan (x))^{- 1})

integral of sec^2(x)tan^4(x)

\int sec^{2} (x) tan^{4} (x) d x

limit as x approaches infinity of e^{(-x)/(100)}

x \to \infty lim (e^{\frac{- x}{100}})

limit as x approaches-2 of (x+3)/(x+2)

x \to - 2 lim (\frac{x + 3}{x + 2})