Download App

Differential Equations Maths - Differential Equations

Gujarat Board (GSEB) - STD 12 Science - Maths (GSEB - English Medium). 436 questions in this chapter.

Question types

Differential Equations question types

436 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

436
Questions
5
Question groups
5
Question types
Sample Questions

Differential Equations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
The solution of the differential equation $\text{x}\frac{\text{dy}}{\text{dx}}=\text{y}+\text{x}\ \tan\frac{\text{y}}{\text{x}}$ is:
  1. $\sin\frac{\text{x}}{\text{y}}=\text{x}+\text{C}$
  2. $\sin\frac{\text{y}}{\text{x}}=\text{Cx}$
  3. $\sin\frac{\text{x}}{\text{y}}=\text{Cy}$
  4. $\sin\frac{\text{y}}{\text{x}}=\text{Cy}$ 
View full solution →
Q 2M.C.Q (1 Marks)1 Mark
The solution of the differential equation $2\text{x}\frac{\text{dy}}{\text{dx}}-\text{y}=3$ resresents:
  1. circles
  2. straight lines
  3. ellipses
  4. parabolas
View full solution →
Q 3M.C.Q (1 Marks)1 Mark
The solution of the differential equation $\frac{\text{dy}}{\text{dx}}-\text{Ky}=0, \text{y}(0)=1$ approaches to zero when $\text{x}\rightarrow\propto$ if,
  1. K = 0
  2. K > 0
  3. K < 0
  4. None of these.
View full solution →
Q 4M.C.Q (1 Marks)1 Mark
The differential equation satisfied by $\text{ax}^{2}+\text{by}^{2}=1$ is:
  1. $\text{xyy}_{2}+\text{y}_{1}^{2}+\text{yy}_{1}=0$
  2. $\text{xyy}_{2}+\text{xy}_{1}^{2}-\text{yy}_{1}=0$
  3. $\text{xyy}_{2}+\text{xy}_{1}^{2}+\text{yy}_{1}=0$
  4. None of these. 
View full solution →
Q 5M.C.Q (1 Marks)1 Mark
The degree of the differntial equation $\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\Big)^{2}=\Big(\frac{\text{dy}}{\text{dx}}\Big)=\text{y}^{3}$ is:
  1. $\frac{1}{2}$
  2. $2$
  3. $3$
  4. $4$ 
View full solution →
Q 61 Marks1 Mark
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$(\text{y"})^2+(\text{y})^3+\sin\text{y}=0$
View full solution →
Q 101 Marks1 Mark
Write the degree of the differrntial equation $\text{x}^{3}\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\Big)^{2}+\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{4}=0.$ 
View full solution →
Q 112 Marks2 Marks
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\text{x}+\Big(\frac{\text{dy}}{\text{dx}}\Big)=\sqrt{1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^2}$
View full solution →
Q 122 Marks2 Marks
Represent the following families of curves by forming the corresponding differential equation:
$\text{x}^2-\text{y}^2=\text{a}^2$
View full solution →
Q 132 Marks2 Marks
Represent the following families of curves by forming the corresponding differential equation:
$\text{x}^2+\text{y}^2=\text{a}^2$
View full solution →
Q 142 Marks2 Marks
Form the differential equation from the following primitives where constants are arbitrart:

$\text{y}^2=4\text{ax}$

View full solution →
Q 152 Marks2 Marks
Form the differential equation from the following primitives where constants are arbitrart:

$\text{y}=\text{ax}^2+\text{bx}+\text{c}$

View full solution →
Q 163 Marks3 Marks
Form the differential equation corresponding to $\text{y}^2=\text{a}(\text{b}-\text{x}^2)$ bt eliminating a and b.
View full solution →
Q 173 Marks3 Marks
Solve the following equation:
$(\text{e}^\text{y}+1)\cos\text{x dx}+\text{e}^\text{y}\sin\text{x}\text{dy}=0$
View full solution →
Q 193 Marks3 Marks
Represent the following families of curves by forming the corresponding differential equation:
$(\text{x}-\text{a})^2-\text{y}^2=1$
View full solution →
Q 203 Marks3 Marks
Represent the following families of curves by forming the corresponding differential equation:
$\text{x}^2+(\text{y}-\text{b})^2=1$
View full solution →
Q 214 Marks4 Marks
Solve the following differential equation
$\frac{\text{dy}}{\text{dx}}=\text{x}^2+\text{x}-\frac{1}{\text{x}},\text{x}\ne0$
View full solution →
Q 224 Marks4 Marks
Represent the following families of curves by forming the corresponding differential equation:
$\text{x}^2+\text{y}^2=\text{ax}^3$
View full solution →
Q 244 Marks4 Marks
Form the differential equation of all the circle which pass through the origin and whose centres lies in x-axis.
View full solution →
Q 254 Marks4 Marks
Solve the following differential equation
$\frac{\text{dy}}{\text{dx}}=\frac{\text{x e }^\text{x}\log\text{x}+\text{e}^\text{x}}{\text{x}\cos\text{y}}$
View full solution →
Browse all question groups ↑

Generate a Differential Equations paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll Maths chapters