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Beliebt Rechnen >

y^{'''}+y^'=tan(t)

Lösung

y^{^{'''}} + y^{^{'}} = tan (t)

Lösung

y = c_{1} + c_{2} cos (t) + c_{3} sin (t) - ln (cos (t)) + cos^{2} (t) + sin (t) (- ln (tan (t) + sec (t)) + sin (t))

Schritte zur Lösung

y^{'''} (t) + y^{'} (t) = tan (t)

Solve linear ODE:

y = c_{1} + c_{2} cos (t) + c_{3} sin (t) - ln (cos (t)) + cos^{2} (t) + sin (t) (- ln (tan (t) + sec (t)) + sin (t))

y = c_{1} + c_{2} cos (t) + c_{3} sin (t) - ln (cos (t)) + cos^{2} (t) + sin (t) (- ln (tan (t) + sec (t)) + sin (t))

Graph

Beliebte Beispiele

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

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

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

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

y^{''}-y^'-2y=-2x^3-3x^2+8x+1

y^{^{''}} - y^{^{'}} - 2 y = - 2 x^{3} - 3 x^{2} + 8 x + 1

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

y^{^{''}} - 9 y = \frac{9 x}{e ^{3 x}}

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

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