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Beliebt Rechnen >

y^{''}-4y^'=3e^{2x},y(0)=0,y^'(0)=0

Lösung

y^{^{''}} - 4 y^{^{'}} = 3 e^{2 x}, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = (- \frac{3}{8} + \frac{3}{4}) e^{4 x} + \frac{3}{8} - \frac{3}{4} e^{2 x}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) = 3 e^{2 x}

Solve linear ODE:

y = (- \frac{3}{8} + \frac{3}{4}) e^{4 x} + \frac{3}{8} - \frac{3}{4} e^{2 x}

y = (- \frac{3}{8} + \frac{3}{4}) e^{4 x} + \frac{3}{8} - \frac{3}{4} e^{2 x}

Graph

Beliebte Beispiele

2y^{''}+50y=2cos(5x)cos(5x)

2 y^{^{''}} + 50 y = 2 cos (5 x) cos (5 x)

(d^2y)/(dt^2)+y=t^2

\frac{d ^{2} y}{d t ^{2}} + y = t^{2}

y^{''}+2y^'+2y=sec(x)e^{-x}

y^{^{''}} + 2 y^{^{'}} + 2 y = sec (x) e^{- x}

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

y^{^{''}} + 4 y^{^{'}} + 4 y = \frac{e ^{(- 2 x)}}{x ^{3}}

y+2(d^2y)/(dx^2)=1

y + 2 \frac{d ^{2} y}{d x ^{2}} = 1