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Beliebt Rechnen >

y^{'''}+64y^'=sec(8x)

Lösung

y^{^{'''}} + 64 y^{^{'}} = sec (8 x)

Lösung

y = c_{1} + c_{2} cos (8 x) + c_{3} sin (8 x) + \frac{1}{512} ln (tan (8 x) + sec (8 x)) - \frac{1}{64} x cos (8 x) + \frac{1}{512} ln (cos (8 x)) sin (8 x)

Schritte zur Lösung

y^{'''} (x) + 64 y^{'} (x) = sec (8 x)

Solve linear ODE:

y = c_{1} + c_{2} cos (8 x) + c_{3} sin (8 x) + \frac{1}{512} ln (tan (8 x) + sec (8 x)) - \frac{1}{64} x cos (8 x) + \frac{1}{512} ln (cos (8 x)) sin (8 x)

y = c_{1} + c_{2} cos (8 x) + c_{3} sin (8 x) + \frac{1}{512} ln (tan (8 x) + sec (8 x)) - \frac{1}{64} x cos (8 x) + \frac{1}{512} ln (cos (8 x)) sin (8 x)

Graph

Beliebte Beispiele

y^{''}+y^'-2y=4x^2

y^{^{''}} + y^{^{'}} - 2 y = 4 x^{2}

y^{''}-y^'-6y=-e^x+12x

y^{^{''}} - y^{^{'}} - 6 y = - e^{x} + 12 x

y^{''}-9y=sinh(3x)

y^{^{''}} - 9 y = sinh (3 x)

y^{''''}-2y^{'''}+y^{''}=e^x+1

y^{^{''''}} - 2 y^{^{'''}} + y^{^{''}} = e^{x} + 1

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

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