COMEDK · Maths · 32. Differential Equations
The solution of \(\left(2 x-10 y^{3}\right) \frac{d y}{d x}+y=0\) is
- A \(x y^{2}=2 y^{5}+C\)
- B \(y x^{2}=2 y^{5}+C\)
- C \(x^{2} y^{2}=2 y^{5}+C\)
- D None of these
Answer & Solution
Correct Answer
(A) \(x y^{2}=2 y^{5}+C\)
Step-by-step Solution
Detailed explanation
Given, differential equation is…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]\), then \(A^{-1}=\)COMEDK 2019 Easy
- If \(k \int_{0}^{1} x \cdot f(3 x) d x=\int_{0}^{3} t \cdot f(t) d t\), then the value of \(k\) isCOMEDK 2020 Medium
- If 3 and 4 are intercepts of a line \(L \equiv 0\), then the distance of \(L \equiv 0\) from the origin isCOMEDK 2021 Easy
- If the product of the matrix \(B=\left[\begin{array}{ccc}2 & 6 & 4 \\ 1 & 0 & 1 \\ -1 & 1 & -1\end{array}\right]\)
with a matrix \(A\) has the inverse \(C=\left[\begin{array}{ccc}-1 & 0 & 1 \\ 1 & 1 & 3 \\ 2 & 0 & 2\end{array}\right]\), then \(A^{-1}\) equalsCOMEDK 2014 Medium - If \(a, b, c\) are real numbers and \(\omega\) is a complex cube root of unity such that \(a+b \omega+c \omega^{2}=0\), thenCOMEDK 2017 Medium
- The focus of the parabola isCOMEDK 2020 Easy
More PYQs from COMEDK
- The minimum energy required by a hydrogen atom in ground state to emit radiation in Paschen series is nearly:COMEDK 2025 Medium
- A one \(\mathrm{kg}\) block of ice at \(-1.5^{\circ} \mathrm{C}\) falls from a height of \(1.5 \mathrm{~km}\) and is found melting. The amount of ice melted due to fall, if \(60 \%\) energy is converted into heat is (Specific heat capacity of ice is \(0.5 \mathrm{~cal} \mathrm{~g}^{-1} \mathrm{~C}^{-1}\), Latent heat of fusion of ice \(=80 \mathrm{~cal~g}^{-1}\) )COMEDK 2024 Medium
- A student measures the terminal potential difference V of a cell (emf \(\varepsilon\) and internal resistance r) as a function of current I flowing through it, and draws V versus I graph. The slope and intercept of the graph respectively areCOMEDK 2025 Easy
- The compound on dehydrogenation gives a ketone. The original compound isCOMEDK 2017 Medium
- In Melde's experiment in the transverse mode, the frequency of the tuning fork and the frequency of the waves in the string are in the ratioCOMEDK 2013 Medium
- \(\lim _{x \rightarrow 0}\left(\frac{1+5 x^{2}}{1+3 x^{2}}\right)^{\frac{1}{x^{2}}}=\)COMEDK 2012 Easy