General and Particular Solutions of a Differential Equation is an important topic in the Mathematics section in VITEEE exam. Practising this topic will increase your score overall and make your conceptual grip on VITEEE exam stronger.
This article gives you a full set of VITEEE PYQs for General and Particular Solutions of a Differential Equation with explanations for effective preparation. Practice of VITEEE Mathematics PYQs including General and Particular Solutions of a Differential Equation questions regularly will improve accuracy, speed, and confidence in the VITEEE 2026 exam.
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VITEEE PYQs for General and Particular Solutions of a Differential Equation with Solutions
1.
The differential equation of the rectangular hyperbola hyperbola, where axes are the asymptotes of the hyperbola, is- $y \frac{dy}{dx} = x $
- $x \frac{dy}{dx} = - y $
- $x \frac{dy}{dx} = y $
- $ xdy + ydx = c $
2.
Solution of the differential equation $xdy - ydx - \sqrt{x^{2}+y^{2}}dx = 0$ is- $y-\sqrt{x^{2}+y^{2}}=Cx^{2}$
- $y+\sqrt{x^{2}+y^{2}}=Cx^{2}$
- $x+\sqrt{x^{2}+y^{2}}=Cx^{2}$
- $x-\sqrt{x^{2}+y^{2}}=Cx^{2}$
3.
The differential equation of the system of all circles of radius $r$ in the $xy$ plane is- $ \left[1+\left(\frac{dy}{dx}\right)^{^3}\right]^{^{^2}}=r^{2}\left(\frac{d^{2}y}{dx^{2}}\right)^{^2}$
- $ \left[1+\left(\frac{dy}{dx}\right)^{^3}\right]^{^{^2}}=r^{2}\left(\frac{d^{2}y}{dx^{2}}\right)^{^3}$
- $ \left[1+\left(\frac{dy}{dx}\right)^{^2}\right]^{^{^3}}=r^{2}\left(\frac{d^{2}y}{dx^{2}}\right)^{^2}$
- $ \left[1+\left(\frac{dy}{dx}\right)^{^2}\right]^{^{^3}}=r^{2}\left(\frac{d^{2}y}{dx^{2}}\right)^{^3}$
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