
8.1.1.87 FIRST Order Differential Equations
Condition: solve differential equations of the first order. If the initial conditions are given, then find a private solution satisfying them. a) \ (\ sqrt {9-x^{2}} D y-y d x = 0, \ quad X_ {0} = \ frac {3} {2}, \ quad y_ {0} = 1 \), b) \ (\ frac {x y^{\ prime} -y} {x} = \ tan \ frac {y} {x} \) c) \ (y^{\ prime}+y = e^{x} \ sin x \).