ExamGOAL
Books
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
92

The solution of $\frac{d y}{d x}=\left(\frac{y}{x}\right)^{1 / 3}$ is $y^{2 / 3}-x^{2 / 3}=c$

A
TRUE
B
FALSE