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Beliebt Rechnen >

(d^2y)/(dx^2)-3(dy)/(dx)+2=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 = 0

Lösung

y = c_{1} e^{3 x} + c_{2} + \frac{2 x}{3}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 = 0

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} + \frac{2 x}{3}

y = c_{1} e^{3 x} + c_{2} + \frac{2 x}{3}

Graph

Beliebte Beispiele

y^{''}+9y=18x+36sin(x)

y^{^{''}} + 9 y = 18 x + 36 sin (x)

y^{''}-4y^'+4y=(e^{-2x})/(1+x^2)

y^{^{''}} - 4 y^{^{'}} + 4 y = \frac{e ^{- 2 x}}{1 + x ^{2}}

y^{''''}+7y^{''}+6=0

y^{^{''''}} + 7 y^{^{''}} + 6 = 0

y^{''}+3y=6t^3,y(0)=0,y^'(0)=0

y^{^{''}} + 3 y = 6 t^{3}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+25y=8cos(5x)

y^{^{''}} + 25 y = 8 cos (5 x)