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Beliebt Rechnen >

5y^{''}-15y=0

Lösung

5 y^{^{''}} - 15 y = 0

Lösung

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

Schritte zur Lösung

5 y^{''} (t) - 15 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+8y^'+210y=0,y(0)=-1,y^'(0)=0

y^{^{''}} + 8 y^{^{'}} + 210 y = 0, y (0) = - 1, y^{^{'}} (0) = 0

((d^2y)/(dx^2)-2(dy)/(dx)+5y)^3=0

(\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + 5 y)^{3} = 0

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

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

27(d^3y)/(dx^3)+y=0

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

(D^{3} - 4 D) y = 0