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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}-x^'-1=-1

x^{^{''}} - x^{^{'}} - 1 = - 1

49y^{'''}+28y^{''}+4y^'=0

49 y^{^{'''}} + 28 y^{^{''}} + 4 y^{^{'}} = 0

y^{'''}-5y^{''}-36y^'=0

y^{^{'''}} - 5 y^{^{''}} - 36 y^{^{'}} = 0

y^{''}+9y=0,y^'(pi)=0,y(0)=0

y^{^{''}} + 9 y = 0, y^{^{'}} (π) = 0, y (0) = 0

y^{''}+4y^'+(3^2+4^2)y=0

y^{^{''}} + 4 y^{^{'}} + (3^{2} + 4^{2}) y = 0