x^2(dy)/(dx)+sin(x)-y=0

Lösung

x^{2} \frac{d y}{d x} + sin (x) - y = 0

y = \frac{\int - \frac{e ^{\frac{1}{x}} s i n ( x )}{x ^{2}} d x}{e ^{\frac{1}{x}}}

Schritte zur Lösung

x^{2} \frac{d y}{d x} + sin (x) - y = 0

Solve linear ODE:

y = \frac{\int - \frac{e ^{\frac{1}{x}} s i n ( x )}{x ^{2}} d x}{e ^{\frac{1}{x}}}

y = \frac{\int - \frac{e ^{\frac{1}{x}} s i n ( x )}{x ^{2}} d x}{e ^{\frac{1}{x}}}

x \to + 0 lim (3 x^{2})

\frac{d y}{d x} = y sin (2 x)

\int \frac{3 a x}{b ^{2} + c ^{2} x ^{2}} d x

y^{^{'}} = 4 x - y

\int s 3^{s} d s