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Beliebt Rechnen >

y^{''}+4y^'+3y-3x=0

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y - 3 x = 0

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 3 y - 3 x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-2(dy)/(dx)+3y=x^2-1

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + 3 y = x^{2} - 1

y^{'''}+y^{''}+y^'+y=e^{-t}+9t

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = e^{- t} + 9 t

y^{''''}+2y^{''}+y=7+cos(6t)

y^{^{''''}} + 2 y^{^{''}} + y = 7 + cos (6 t)

y^{''}+2y^'+y=cosh(x)

y^{^{''}} + 2 y^{^{'}} + y = cosh (x)

y^{''}-2y^'-15y=3e^{2t}

y^{^{''}} - 2 y^{^{'}} - 15 y = 3 e^{2 t}