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Beliebt Rechnen >

y^{''}+49y=49sec^2(7t)

Lösung

y^{^{''}} + 49 y = 49 sec^{2} (7 t)

Lösung

y = c_{1} cos (7 t) + c_{2} sin (7 t) - 1 + ln (sec (7 t) + tan (7 t)) sin (7 t)

Schritte zur Lösung

y^{''} (t) + 49 y = 49 sec^{2} (7 t)

Solve linear ODE:

y = c_{1} cos (7 t) + c_{2} sin (7 t) - 1 + ln (sec (7 t) + tan (7 t)) sin (7 t)

y = c_{1} cos (7 t) + c_{2} sin (7 t) - 1 + ln (sec (7 t) + tan (7 t)) sin (7 t)

Graph

Beliebte Beispiele

y^{^{''}} - y^{^{'}} = - 2

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4 y + 7 y^{^{'}} + 2 y^{^{''}} = 10 \cdot cos (4 x)

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y^{^{''}} - y^{^{'}} + y = sin (t) - 3 e^{2 t}

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y^{^{''}} - 2 y^{^{'}} + y = 3 e^{t}

y^{''}+2y^'+y=x^2e^xcos(x)

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