y^'=4+2sin(x/4)-y/(100)

Lösung

y^{^{'}} = 4 + 2 sin (\frac{x}{4}) - \frac{y}{100}

y = 2 (\frac{50}{313} sin (\frac{x}{4}) + 200 - \frac{1250}{313} cos (\frac{x}{4})) + \frac{c _{1}}{e ^{\frac{x}{100}}}

Schritte zur Lösung

y^{'} (x) = 4 + 2 sin (\frac{x}{4}) - \frac{y}{100}

Solve linear ODE:

y = 2 (\frac{50}{313} sin (\frac{x}{4}) + 200 - \frac{1250}{313} cos (\frac{x}{4})) + \frac{c _{1}}{e ^{\frac{x}{100}}}

y = 2 (\frac{50}{313} sin (\frac{x}{4}) + 200 - \frac{1250}{313} cos (\frac{x}{4})) + \frac{c _{1}}{e ^{\frac{x}{100}}}

\int \frac{1}{n ( ln ( n ) ) ^{2}}

\int_{0}^{1} (3 - 4 x) e^{2 x} d x

y^{^{''}} + \frac{200}{8} \cdot y = 30 sin (2 x), y (0) = 2, y^{^{'}} (0) = 0

\frac{d}{d x} (- \frac{c}{x ^{2}})

t an g e n t \frac{2 x + 1}{x + 2}