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Beliebt Rechnen >

(d^2y)/(dx^2)-4(dy)/(dx)+3=e^{-5x}

Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 3 = e^{- 5 x}

Lösung

y = c_{1} e^{4 x} + c_{2} + \frac{1}{45} e^{- 5 x} + \frac{3 x}{4}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 3 = e^{- 5 x}

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} + \frac{1}{45} e^{- 5 x} + \frac{3 x}{4}

y = c_{1} e^{4 x} + c_{2} + \frac{1}{45} e^{- 5 x} + \frac{3 x}{4}

Graph

Beliebte Beispiele

(d^2-9)y=30sin^3(x)

(d^{2} - 9) y = 30 sin^{3} (x)

3y^{''}-8y^'-3y=6

3 y^{^{''}} - 8 y^{^{'}} - 3 y = 6

y^{''}+4y^'+5y=13sin(2t)

y^{^{''}} + 4 y^{^{'}} + 5 y = 13 sin (2 t)

y^{''}-4y^'-y=2x^2-5x+4-3e^{-3x}

y^{^{''}} - 4 y^{^{'}} - y = 2 x^{2} - 5 x + 4 - 3 e^{- 3 x}

y^{''}+4y=sin(x),y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = sin (x), y (0) = 0, y^{^{'}} (0) = 0