x^3(dy)/(dx)-sin(x)y=0

Lösung

x^{3} \frac{d y}{d x} - sin (x) y = 0

y = e^{- \frac{s i n ( x )}{2 x ^{2}} + \frac{1}{2} (- \frac{c o s ( x )}{x} - Si (x)) + c_{1}}

Schritte zur Lösung

x^{3} \frac{d y}{d x} - sin (x) y = 0

Solve separable ODE:

y = e^{- \frac{s i n ( x )}{2 x ^{2}} + \frac{1}{2} (- \frac{c o s ( x )}{x} - Si (x)) + c_{1}}

y = e^{- \frac{s i n ( x )}{2 x ^{2}} + \frac{1}{2} (- \frac{c o s ( x )}{x} - Si (x)) + c_{1}}

y^{^{'}} = \frac{x ^{2} - 3}{y ^{2}}, y (0) = 4

y^{^{'}} = \frac{x ^{2} - 3}{y ^{2}}, y (0) = 6

y^{^{'}} = 3 \cdot y

y^{^{'}} = \frac{y ^{4} 2 x}{4 y ^{3} x ^{2}}

y^{^{'}} = \frac{3 x 1 + y ^{2}}{y}