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Beliebt Rechnen >

y^{''}+y^'=sqrt(2)sin(sqrt(2))t

Lösung

y^{^{''}} + y^{^{'}} = 2 sin (2) t

Lösung

y = c_{1} + c_{2} e^{- t} + \frac{sin ( 2 ) t ^{2}}{2} - 2 sin (2) t

Schritte zur Lösung

y^{''} (t) + y^{'} (t) = 2 sin (2) t

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + \frac{sin ( 2 ) t ^{2}}{2} - 2 sin (2) t

y = c_{1} + c_{2} e^{- t} + \frac{sin ( 2 ) t ^{2}}{2} - 2 sin (2) t

Beliebte Beispiele

y^{''}-6y^'+25y=30e^{3x}sin(x)

y^{^{''}} - 6 y^{^{'}} + 25 y = 30 e^{3 x} sin (x)

y^{''}+y^'-2y=x+sin(2x)

y^{^{''}} + y^{^{'}} - 2 y = x + sin (2 x)

y^{''}+2y^'+10y=2cos(6x)

y^{^{''}} + 2 y^{^{'}} + 10 y = 2 cos (6 x)

6y^{''}-3y=x^2-x+7

6 y^{^{''}} - 3 y = x^{2} - x + 7

y^{''}+4y=x^2+5cos(2x)

y^{^{''}} + 4 y = x^{2} + 5 cos (2 x)