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Beliebt Rechnen >

y^{''}=8y^'-15y

Lösung

y^{^{''}} = 8 y^{^{'}} - 15 y

Lösung

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

Schritte zur Lösung

y^{''} (t) = 8 y^{'} (t) - 15 y

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

x^{''}+9x=0,x(0)=3,x^'(0)=4

x^{^{''}} + 9 x = 0, x (0) = 3, x^{^{'}} (0) = 4

y^{''}-7y^'+2y=0

y^{^{''}} - 7 y^{^{'}} + 2 y = 0

(d^2y)/(dt^2)+7(dy)/(dt)+ky=0

\frac{d ^{2} y}{d t ^{2}} + 7 \frac{d y}{d t} + k y = 0

solvefor x,(d^2x)/(dy^2)+0.1x=0

so l v e f or x, \frac{d ^{2} x}{d y ^{2}} + 0.1 x = 0