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Beliebt Rechnen >

4y^{''}-12y^'+9y=0,y(0)=1

Lösung

4 y^{^{''}} - 12 y^{^{'}} + 9 y = 0, y (0) = 1

Lösung

y = e^{\frac{3 t}{2}} + c_{2} e^{\frac{3 t}{2}} t

Schritte zur Lösung

4 y^{''} (t) - 12 y^{'} (t) + 9 y = 0

Solve linear ODE:

y = e^{\frac{3 t}{2}} + c_{2} e^{\frac{3 t}{2}} t

y = e^{\frac{3 t}{2}} + c_{2} e^{\frac{3 t}{2}} t

Graph

Beliebte Beispiele

(d^3+9d^2+27d+27)y=0

(d^{3} + 9 d^{2} + 27 d + 27) y = 0

(D^{2} - D - 2) y = 0

y^{''}+5y^'-36y=0,y(0)=α,y^'(0)=-72

y^{^{''}} + 5 y^{^{'}} - 36 y = 0, y (0) = α, y^{^{'}} (0) = - 72

y^{''}-3y^'-4y=0,y(0)=1,y^'(0)=29

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = 1, y^{^{'}} (0) = 29

y^{''}+((9.8)/(0.06))y=0

y^{^{''}} + (\frac{9.8}{0.06}) y = 0