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Beliebt Rechnen >

y^{''}+y^'= 1/(cos(x))

Lösung

y^{^{''}} + y^{^{'}} = \frac{1}{cos ( x )}

Lösung

y = c_{1} + c_{2} e^{- x} + ln (tan (x) + sec (x)) + e^{- x} \cdot \int - e^{x} sec (x) d x

Schritte zur Lösung

y^{''} (x) + y^{'} (x) = \frac{1}{cos ( x )}

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + ln (tan (x) + sec (x)) + e^{- x} \cdot \int - e^{x} sec (x) d x

y = c_{1} + c_{2} e^{- x} + ln (tan (x) + sec (x)) + e^{- x} \cdot \int - e^{x} sec (x) d x

Beliebte Beispiele

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

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

y^{^{''}} + y = x + e^{x}

y^{''''}-5y^{''}+4y=e^x(-122-48x+72x^2)

y^{^{''''}} - 5 y^{^{''}} + 4 y = e^{x} (- 122 - 48 x + 72 x^{2})

y^{'''}+100y^'=tan(10x)

y^{^{'''}} + 100 y^{^{'}} = tan (10 x)

1x^{''}-3x^'+2x=20sin(2t)

1 x^{^{''}} - 3 x^{^{'}} + 2 x = 20 sin (2 t)