x(dy)/(dx)+(3x+1)y=e^{3x}

Lösung

x \frac{d y}{d x} + (3 x + 1) y = e^{3 x}

y = \frac{e ^{3 x}}{6 x} + \frac{c _{1}}{e ^{3 x} x}

Schritte zur Lösung

x \frac{d y}{d x} + (3 x + 1) y = e^{3 x}

Solve linear ODE:

y = \frac{e ^{3 x}}{6 x} + \frac{c _{1}}{e ^{3 x} x}

y = \frac{e ^{3 x}}{6 x} + \frac{c _{1}}{e ^{3 x} x}

\int \frac{x}{3 - 2 x - x ^{2}} d x

\int_{2}^{\frac{1}{x}} arctan (t) d t

\int_{- 5}^{0} (4 + 25 - x^{2}) d x

x \to 8 lim (\frac{x + 9}{x - 8})

y^{^{''}} + 256 y = 7 cos (5 t)