87
Solution of the differential equation of the type $\frac{d x}{d y}+P_1 x=Q_1$ is given by $x \cdot \mathrm{IF}=\int(\mathrm{IF}) \times Q_1 d y$.
A
TRUE
B
FALSE
88
Correct substitution for the solution of the differential equation of the type $\frac{d y}{d x}=f(x, y)$, where $f(x, y)$ is a homogeneous function of zero degree is $y=v x$.
A
TRUE
B
FALSE
89
Correct substitution for the solution of the differential equation of the type $\frac{d y}{d x}=g(x, y)$, where $g(x, y)$ is a homogeneous function of the degree zero is $x=v y$.
A
TRUE
B
FALSE
90
Number of arbitrary constants in the particular solution of $a$ differential equation of order two is two.
A
TRUE
B
FALSE
91
The differential equation representing the family of circles $x^2+(y-a)^2=a^2$ will be of order two.
A
TRUE
B
FALSE