Fill In The Blanks[1 Marks ]

Question 11 Mark

The order of the differential equation $x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2$ is ____________ .

Answer

Question 21 Mark

The degree of the differential equation $\frac{d^3 y}{d x^3}+2\left(\frac{d^2 y}{d x^2}\right)^2-\frac{d y}{d x}+y=0$ will be _____________ .

Answer

Question 31 Mark

I.F. of the differential equation $x \frac{d y}{d x}+2 y=x^2$ will be _______________ .

Answer

$x^2$

Question 41 Mark

The value of P in the differential equation $\frac{d y}{d x}-y=\cot x$ will be ___________ .

Answer

-1

Question 51 Mark

In case of a differential equation being a homogeneous differential equation we make the substitution ___________ .

Answer

$y= v x$

Question 61 Mark

On substituting $y=1$ and $x=0$ in the equation $y=\frac{1}{2 x^2- C }$, the value of C will be ______________ .

Answer

-1

Question 71 Mark

The general solution of the differential equation $\frac{d y}{d x}=\frac{1+y^2}{1+x^2}$ will be ___________ .

Answer

$\tan ^{-1} y=\tan ^{-1} x+ C$

Question 81 Mark

The number of arbitrary constants present in the general solution of any differential equation of order three will be ____________ .

Answer

Question 91 Mark

The order of $y^{\prime \prime \prime}+y^2+e^{y^{\prime}}=0$ will be ___________ .

Answer

Question 101 Mark

The degree of $\frac{d y}{d x}+\sin \left(\frac{d y}{d x}\right)=0$ _____________ .

Answer

cannot be defined

MATHS Fill In The Blanks[1 Marks ]