Embibe Experts Solutions for Exercise 1: EXERCISE 10.1

The order of the differential equation whose solution is given by $y=c_{1}x+\left(c_2+c_3\right)e^{\log x}+c_4\cos \left(x+c_5\right),$ where $c_1, c_2, c_3, c_4$ and $c_5$ are arbitrary constants, is

The differential equation of all circles with fixed centre $\left(\alpha , \beta \right)$ is

The order of the differential equation of ellipse whose major and minor axes are along $x$-axis and $y$-axis respectively, is

The differential equation satisfying all the curves $y=a{e}^{2x}+b{e}^{-3x},$ where $a$ and $b$ are arbitrary constants, is

Which of the following differential equation is linear?

The differential equation of all the non-vertical lines in the $xy$-plane is

The differential equation of the family of curves represented by the equation ${\left(x-a\right)}^2+y^2=a^2$ is

The differential equation of the family of curves $v=\frac{A}{r}+B$, where $A$ and $B$ are arbitrary constants, is