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Beliebt Rechnen >

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

Lösung

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

Lösung

y = cos (4 t) + \frac{sin ( 4 ) sin ( 4 t )}{cos ( 4 )}

Schritte zur Lösung

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

Solve linear ODE:

y = cos (4 t) + \frac{sin ( 4 ) sin ( 4 t )}{cos ( 4 )}

y = cos (4 t) + \frac{sin ( 4 ) sin ( 4 t )}{cos ( 4 )}

Beliebte Beispiele

2y^{''}+9y^'+7y=0

2 y^{^{''}} + 9 y^{^{'}} + 7 y = 0

9y^{''}-64y=0,y(0)=1,y^'(0)=0

9 y^{^{''}} - 64 y = 0, y (0) = 1, y^{^{'}} (0) = 0

4y^{''}-y^'-3y=0,y(0)=9,y^'(0)=0.25

4 y^{^{''}} - y^{^{'}} - 3 y = 0, y (0) = 9, y^{^{'}} (0) = 0.25

y^{''}-6y^'+9y=0,y(1/3)=9,y(0)=3

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (\frac{1}{3}) = 9, y (0) = 3

x^{^{''}} + 64 x^{^{'}} = 0