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Beliebt Rechnen >

16y^{''}-8y^'+145y=0,y(0)=1

Lösung

16 y^{^{''}} - 8 y^{^{'}} + 145 y = 0, y (0) = 1

Lösung

y = e^{\frac{t}{4}} (cos (3 t) + c_{2} sin (3 t))

Schritte zur Lösung

16 y^{''} (t) - 8 y^{'} (t) + 145 y = 0

Solve linear ODE:

y = e^{\frac{t}{4}} (cos (3 t) + c_{2} sin (3 t))

y = e^{\frac{t}{4}} (cos (3 t) + c_{2} sin (3 t))

Graph

Beliebte Beispiele

16*y^{''}+24*y^'+73*y=0,y(0)=[4]

16 \cdot y^{^{''}} + 24 \cdot y^{^{'}} + 73 \cdot y = 0, y (0) = [4]

linear 64y^{''}-81y=0

l in e a r 64 y^{^{''}} - 81 y = 0

y^{''}+4y=0,y(3pi)=-3,y(0)=-3

y^{^{''}} + 4 y = 0, y (3 π) = - 3, y (0) = - 3

y^{''}-y^'=0,y(0)=0,y^'(0)=0

y^{^{''}} - y^{^{'}} = 0, y (0) = 0, y^{^{'}} (0) = 0

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

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