Problem 5
Solution of \(\left(x^{2}+y^{2}\right) d y=x y d x\) is
Problem 18
Integratiny facter of the differential equation \(\frac{d x}{d y}+\frac{3 x}{y}=\frac{1}{y^{2}}\) is (a) \(e^{2}\) (b) \(y^{3}\) (c) \(x^{2}\)
Problem 21
Solutien of \(d y / d x+y=0\) given \(y(0)=5\) is
Problem 27
Degree of the differentinl equition \(\left(\frac{d^{2} y}{d x^{2}}\right)^{2}+x\left(\frac{d y}{d x}\right)^{5} x^{2} y=0\) is (o) 2 (b) 0 (c) 3 (d) 5
Problem 28
Integrating factor of the differential equation \(\frac{d y}{d x}+y \cos x=\frac{\sin 2 x}{2}\) is (a) \(e^{\sin ^{2} x}\) (b) \(e^{\min ^{3} x}\) (c) ein (d) \(\sin x\)
Problem 29
The differential equation of the family of circlen with centre as origin is,
Problem 32
Differential equation obtained by eliminating \(A\) and \(B\) form \(y=A \cos x+B \sin x\) is \(d^{2} y / d x^{2}-y=0\)
