AP EAMCET · Maths · Differential Equations
The solution of \(\frac{d x}{d y}+\frac{x}{y}=x^2\) is :
- A \(\frac{1}{y}=c x-x \log x\)
- B \(\frac{1}{x}=c y-y \log y\)
- C \(\frac{1}{x}=c x+x \log y\)
- D \(\frac{1}{y}=c x-y \log x\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{x}=c y-y \log y\)
Step-by-step Solution
Detailed explanation
\(\frac{d x}{d y}+\frac{x}{y}=x^2\) \(\Rightarrow \quad \frac{1}{x^2} \frac{d x}{d y}+\frac{1}{x y}=1\) Put \(\quad \frac{1}{x}=t \Rightarrow-\frac{1}{x^2} \frac{d x}{d y}=\frac{d t}{d y}\)…
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
- \(\int e^x \frac{x^2+1}{(x+1)^2} d x\) is equal toAP EAMCET 2015 Hard
- If the difference between the mean and variance of a binomial variate is \(\frac{5}{9}\), then the probability of getting 2 successes for an event when the experiment is conducted 5 times, isAP EAMCET 2023 Medium
- If \(\sinh x=\frac{5}{12}\), then \(\cosh \frac{x}{2}=\)AP EAMCET 2023 Easy
- \[
\text { If }\left(1+\frac{3}{1}\right)\left(1+\frac{5}{4}\right)\left(1+\frac{7}{9}\right) \ldots\left(1+\frac{2 n+1}{n^2}\right)=121 \text {, }
\]
then \(n=\)AP EAMCET 2018 Medium - If \(A=\left[\begin{array}{ccc}1 & 2 & x \\ 4 & -1 & 7 \\ 2 & 4 & -6\end{array}\right]\) and the rank of \(A\) is 2, then the value of \(x\) is equal toAP EAMCET 2025 Medium
- The range of the function \(f(x)=\frac{x}{x^2-5 x+9}\) isAP EAMCET 2022 Easy
More PYQs from AP EAMCET
- A is the set of all matrices of order 3 with entries 0 or 1 only. \(B\) is the subset of \(A\) consisting of all matrices with determinant value 1. If \(C\) is the subset of \(A\) consisting of all matrices with determinant value -1, thenAP EAMCET 2025 Medium
- If \(z\) and \(\omega\) are two non-zero complex numbers such that \(|z \omega|=1\) and \(\operatorname{Arg} z-\operatorname{Arg} \omega=\frac{\pi}{2}\) then \(\bar{z} \omega=\)AP EAMCET 2025 Medium
- \(\int\left[\frac{1}{\log x}-\frac{1}{(\log x)^2}\right] d x=\)AP EAMCET 2020 Medium
- If the straight line \(2 x+3 y-1=0, x+2 y-1=0\) and \(a x+b y-1=0\) form a triangle with origin as orthocentre, then \((a, b)\) is equal toAP EAMCET 2015 Medium
- Among the following, the incorrect statement isAP EAMCET 2023 Easy
- At a place the horizontal component of earth's magnetic field is \(3 \times 10^{-5} \mathrm{~T}\) and the magnetic declination is \(30^{\circ}\). A compass needle of magnetic moment \(18 \mathrm{Am}^2\) pointing towards geographic north at this place experiences a torque ofAP EAMCET 2024 Easy