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Beliebt Rechnen >

(d^2y)/(dx^2)-8(dy)/(dx)+15y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 15 y = 0

Lösung

y = c_{1} e^{5 x} + c_{2} e^{3 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 15 y = 0

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{3 x}

y = c_{1} e^{5 x} + c_{2} e^{3 x}

Graph

Beliebte Beispiele

y^{''}-11y^'+24y=0

y^{^{''}} - 11 y^{^{'}} + 24 y = 0

16y^{''''}+16y^{''}+4y=0

16 y^{^{''''}} + 16 y^{^{''}} + 4 y = 0

x^{^{''}} + 64 x = 0

2y^{''}+2y^'-y=0

2 y^{^{''}} + 2 y^{^{'}} - y = 0

3y^{''}+27y=0,y(0)=0,y^'(0)=1

3 y^{^{''}} + 27 y = 0, y (0) = 0, y^{^{'}} (0) = 1