Differential Equations
Subject matter experts of JagranJosh have developed chapter wise practice questions of Class 12th as per the relevancy of the chapter in the CBSE board exam. This practice set contains 10 questions with detailed explanations on “Chapter: Differential Equations” of Mathematics.

Q1.$$\begin{array}{l}What\text{}is\text{}the\text{}particular\text{}solution\text{}of\text{}the\text{}differential\text{}equation\text{}\left(ta{n}^{1}yx\right)\text{}dy=\left(1+{y}^{2}\right)\text{}dx?\\ \left(Given\text{}that,\text{}at\text{}x=\text{}0\text{}we\text{}have\text{}y=\text{}0\right)\end{array}$$
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Q2.What is the solution of the differential equation: $$\text{2}{x}^{\text{2}}\frac{\text{d}y}{\text{d}x}\text{2}xy\text{+}{y}^{\text{2}}\text{=}\text{\hspace{0.17em}}\text{0}?$$
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Q3.What is the particular solution of the differential equation: $$\frac{\text{d}y}{\text{d}x}\text{=1+}{x}^{\text{2}}\text{+}{y}^{\text{2}}\text{+}{x}^{\text{2}}{y}^{\text{2}}?\text{Give,}\text{\hspace{0.17em}}\text{at}y=\text{1}\text{\hspace{0.17em}},x=\text{0}$$
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Q4.$$The\text{}solution\text{}of\text{}the\text{}differential\text{}equation\text{}\left[\frac{{\text{e}}^{\text{2}\sqrt{x}}}{\sqrt{x}}\frac{y}{\sqrt{x}}\right]\frac{\text{d}x}{\text{d}y}=\text{1,}\text{\hspace{0.17em}}\text{is}\text{\hspace{0.17em}}\text{given}\text{\hspace{0.17em}}\text{by}$$
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Q5.The differential equation of the family of parabolas having vertex at the origin and axis along positive yaxis is
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Q6.Write the differential equation representing the family of curves y = m x, where m is an arbitrary constant.
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Q7.$$The\text{}solution\text{}of\text{}the\text{}differential\text{}equation\text{}x\left({e}^{2y}1\right)dy+\left({x}^{2}1\right){e}^{y}dx=0\text{\hspace{0.17em}}\text{}is$$
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