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Beliebt Rechnen >

y^{'''}+y^'=ln(x)

Lösung

y^{^{'''}} + y^{^{'}} = ln (x)

Lösung

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + x ln (x) - x + cos (x) Si (x) - sin (x) Ci (x)

Schritte zur Lösung

y^{'''} (x) + y^{'} (x) = ln (x)

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + x ln (x) - x + cos (x) Si (x) - sin (x) Ci (x)

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + x ln (x) - x + cos (x) Si (x) - sin (x) Ci (x)

Beliebte Beispiele

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

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

y^{''}+y=sin(t)cos(t)

y^{^{''}} + y = sin (t) cos (t)

y^{''}+6y^'+9y=((2e^{-3x}))/(x^2+1)

y^{^{''}} + 6 y^{^{'}} + 9 y = \frac{( 2 e ^{- 3 x} )}{x ^{2} + 1}

y^{''}+y=x^2+1,y(0)=7,y(1)=0

y^{^{''}} + y = x^{2} + 1, y (0) = 7, y (1) = 0

y^{''}-8y^'+15y=64e^t

y^{^{''}} - 8 y^{^{'}} + 15 y = 64 e^{t}