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Beliebt Rechnen >

y^{''}+y=0,y(pi/3)=6,y^'(pi/3)=-12

Lösung

y^{^{''}} + y = 0, y (\frac{π}{3}) = 6, y^{^{'}} (\frac{π}{3}) = - 12

Lösung

y = (12 - 3 \cdot 3 (3 - 2)) cos (t) + 3 (3 - 2) sin (t)

Schritte zur Lösung

y^{''} (t) + y = 0

Solve linear ODE:

y = (12 - 3 \cdot 3 (3 - 2)) cos (t) + 3 (3 - 2) sin (t)

y = (12 - 3 \cdot 3 (3 - 2)) cos (t) + 3 (3 - 2) sin (t)

Graph

Beliebte Beispiele

y^{''''}-18y^{'''}+81y^{''}=0

y^{^{''''}} - 18 y^{^{'''}} + 81 y^{^{''}} = 0

y^{''}-8y^'-33y=0

y^{^{''}} - 8 y^{^{'}} - 33 y = 0

y^{''}-5/2 y^'+y=0

y^{^{''}} - \frac{5}{2} y^{^{'}} + y = 0

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

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

y^{''}+2y^'+5y=0,y(0)=0,y^'(0)=1

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 1