Quiz about Differential Equations

Question 1

If $${m}$$ and $${n}$$, respectively, are the order and the degree of the differential equation

$$\frac{d}{d x}[(\frac{d y}{d x})]^{4}=0, 	ext { then } {m}+{n}=$$

Accepted Answer

Covalent bond

Answer

$$3$$

Answer

$$1$$

Answer

$$2$$

Answer

$$4$$

Question 2

The general solution of the differential equation $$y d x-x d y=0$$ is

Accepted Answer

Covalent bond

Answer

$$y=C x$$

Answer

$$x y=C$$

Answer

$$x=C y^{2}$$

Answer

$$y=C x^{2}$$

Question 3

If $$y=\sin ^{-1} x$$, then $$(1-x^{2}) y_{2}$$ is equal to

Accepted Answer

Covalent bond

Answer

$$x y_{1}$$

Answer

$$x y$$

Answer

$$x y_{2}$$

Answer

$$x^{2}$$

Question 4

If $$y \sqrt{1-x^{2}}+x \sqrt{1-y^{2}}=1$$, then check if $$\frac{d y}{d x}=-\sqrt{\frac{1-y^{2}}{1-x^{2}}}$$

Accepted Answer

Covalent bond

Answer

$$Yes$$

Answer

$$No$$

Question 5

Solve the differential equation: $$y d x+(x-y^{2}) d y=0$$

Accepted Answer

Covalent bond

Answer

$$x y-\frac{y^{3}}{3}=C$$

Answer

$$x y+\frac{y^{2}}{3}=C$$

Answer

$$x y-\frac{y^{5}}{5}=C$$

Answer

None of the above

Differential Equations Cbse Class 12 Maths Problems and Solutions