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Beliebt Rechnen >

y^{''}-3y^'+(2.25+a)y=0,y(0)=0

Lösung

y^{^{''}} - 3 y^{^{'}} + (2.25 + a) y = 0, y (0) = 0

Lösung

y = c_{2} e^{\frac{3 t}{2}} sin (a t)

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + (2.25 + a) y = 0

Solve linear ODE:

y = c_{2} e^{\frac{3 t}{2}} sin (a t)

y = c_{2} e^{\frac{3 t}{2}} sin (a t)

Graph

Beliebte Beispiele

y^{''}-18y^'+81y=0,y(0)=0,y^'(0)=6

y^{^{''}} - 18 y^{^{'}} + 81 y = 0, y (0) = 0, y^{^{'}} (0) = 6

2y^{''}+1000y^'+2000000y=0

2 y^{^{''}} + 1000 y^{^{'}} + 2000000 y = 0

y^{''}+ay=0,y(0)=b,y^'(0)=0

y^{^{''}} + a y = 0, y (0) = b, y^{^{'}} (0) = 0

9 y^{^{''}} - 8 y = 0

y^{''}+y^'-2y=0,y(0)=1

y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = 1