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Beliebt Rechnen >

y^{''}+16y=7sin(x)

Lösung

y^{^{''}} + 16 y = 7 sin (x)

Lösung

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{15} sin (x)

Schritte zur Lösung

y^{''} (x) + 16 y = 7 sin (x)

Solve linear ODE:

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{15} sin (x)

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{15} sin (x)

Graph

Beliebte Beispiele

y^{'''}-y^{''}-9y^'+9y=7-e^x+e^{3x}

y^{^{'''}} - y^{^{''}} - 9 y^{^{'}} + 9 y = 7 - e^{x} + e^{3 x}

3y^{''}-y=e^x-5

3 y^{^{''}} - y = e^{x} - 5

y^{''}+4y^'+4y=375*t

y^{^{''}} + 4 y^{^{'}} + 4 y = 375 \cdot t

y^{''}-2y^'-15y=4e^t

y^{^{''}} - 2 y^{^{'}} - 15 y = 4 e^{t}

y^{'''}+3y^{''}+2y^'=u

y^{^{'''}} + 3 y^{^{''}} + 2 y^{^{'}} = u