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86

Integrating factor of the differential of the form $\frac{d x}{d y}+P_1 x=Q_1$ is given by $e^{\int P_1 d y}$.

A
TRUE
B
FALSE
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