Differential Equations PYQs - Last 5 Years
KCET / Mathematics / Calculus / 13 recent questions
MathematicsCalculus2022-2026
Practice 13 KCET Mathematics questions from Differential Equations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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Mathematics / Calculus
2022-2026
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2022-2026
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2017-2026
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13 in last 5 years13 in last 10 years
Last 5 Years Differential Equations Questions
Showing 13 of 13 filtered questions.
1Differential Equations
Integrating factor of the differential equation $(1 + x^2)\dfrac{dy}{dx} + xy = 1$ is
MCQ+1 / -02026
2Differential Equations
$\int xf(x)\,dx + \dfrac{f(x)}{2} = 0$, then $f(x)$ is equal to
MCQ+1 / -02026
3Differential Equations
Sum of the squares of the order and degree (if defined) of a differential equation $2 y^{\prime}+\left(y^{\prime \prime}\right)^2=\sqrt{y^{\prime \prime}-3}$ is
MCQ+1 / -02026
4Differential Equations
If ' $a$ ' and ' $b$ ' are the order and degree respectively of the differentiable equation. $\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^3+x^4=0$, then $a-b=$ $\qquad$
MCQ+1 / -02025
5Differential Equations
General solution of the differential equation $\frac{d y}{d x}+y \tan x=\sec x$ is
MCQ+1 / -02025
6Differential Equations
The solution of $e^{d y / d x}=x+1, y(0)=3$ is
MCQ+1 / -02024
7Differential Equations
The family of curves whose $x$ and $y$ intercepts of a tangent at any point are respectively double the $x$ and $y$ coordinates of that point is
MCQ+1 / -02024
8Differential Equations
The degree of the differential equation \(1+\left(\frac{d y}{d x}\right)^2+\left(\frac{d^2 y}{d x^2}\right)^2=\sqrt[3]{\frac{d^2 y}{d x^2}+1}\) is
MCQ+1 / -02023
9Differential Equations
If a curve passes through the point \((1,1)\) and at any point \((x, y)\) on the curve, the product of the slope of its tangent and \(x\) coordinate of the point is equal to the \(y\) coordinate of the point, then the curve also passes thro...
MCQ+1 / -02023
10Differential Equations
The sum of the degree and order of the differential equation \(\left(l+y_1^2\right)^{2 / 3}=y_2\) is
MCQ+1 / -02022
11Differential Equations
If \(y(x)\) is the solution of differential equation \(x \log x \frac{d y}{d x}+y=2 x \log x, y(e)\) is equal to
MCQ+1 / -02022
12Differential Equations
The solution of the differential equation \(\frac{d y}{d x}=(x+y)^2\) is
MCQ+1 / -02022
13Differential Equations
If \(\frac{d y}{d x}+\frac{y}{x}=x^2\), then \(2 y(2)-y(1)=\)
MCQ+1 / -02022