y^{''}-2y^'+5y=5x+3

Lösung

y^{^{''}} - 2 y^{^{'}} + 5 y = 5 x + 3

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + x + 1

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + 5 y = 5 x + 3

Solve linear ODE:

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + x + 1

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + x + 1

x \to 3 lim (\frac{3 - x}{∣ x - 3 ∣})

\int (8 x + 1 - 9 e^{x}) d x

in v erse l a pl a ce \frac{e ^{- s}}{s ^{2} + 3 s + 2}

\int \frac{e ^{- x}}{( 9 e ^{- 2 x} + 1 ) ^{\frac{3}{2}}} d x

d er i v a t i v e 1 - x^{2}