y^{'''}-5y^{''}+6y^'=2sin(x)+8

Lösung

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 2 sin (x) + 8

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{1}{5} sin (x) - \frac{1}{5} cos (x) + \frac{4 x}{3}

Schritte zur Lösung

y^{'''} (x) - 5 y^{''} (x) + 6 y^{'} (x) = 2 sin (x) + 8

Solve linear ODE:

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{1}{5} sin (x) - \frac{1}{5} cos (x) + \frac{4 x}{3}

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{1}{5} sin (x) - \frac{1}{5} cos (x) + \frac{4 x}{3}

d er i v a t i v e y = x^{6 c o s (x)}

\frac{\partial}{\partial x} (x^{2} + x e^{2} y - y)

\frac{d}{d x} (\frac{( x + 1 ) ^{5}}{( 1 - x ) ^{4}})

d er i v a t i v e y = ln (e^{3 x})

x \to 49 lim (\frac{x ^{2}}{7} - \frac{7}{x})