TS EAMCET · Maths · Differential Equations
The general solution of the differential equation \((9 x-3 y+5) d y=(3 x-y+1) d x\) is
- A \(x-3 y-\log |12 x-4 y+7|=c\)
- B \(4 x-12 y-\log |12 x-4 y+7|=c\)
- C \(4 x-12 y+\log |6 x-2 y+7|=c\)
- D \(2 x-6 y+\log |12 x-4 y+7|=c\)
Answer & Solution
Correct Answer
(B) \(4 x-12 y-\log |12 x-4 y+7|=c\)
Step-by-step Solution
Detailed explanation
\(\frac{d y}{d x}=\frac{(3 x-y+1)}{(9 x-3 y+5)}\) Let \(3 x-y=v\)…
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
- \(\cos \frac{2 \pi}{7}+\cos \frac{4 \pi}{7}+\cos \frac{6 \pi}{7}+\cos \frac{7 \pi}{7}\) is equal toTS EAMCET 2021 Medium
- If all the letters of the word MOST are permuted and the words (with or without meaning) thus obtained are arranged in the dictionary order then the rank of the word STOM when counted from the rank of the word MOST, isTS EAMCET 2025 Medium
- \(\sin ^{-1} \frac{\sqrt{3}}{2}+\sin ^{-1} \sqrt{\frac{2}{3}}=\)TS EAMCET 2017 Hard
- The combined equation of the straight lines passing through the point \((4,3)\) and each line making intercepts on the coordinate axes whose sum is -1 , isTS EAMCET 2015 Medium
- Let \(x \in \mathbf{R}\) be so small that the powers of \(x\) beyond two are insignificant and negligibly small. For such \(x\), if \((1-x)^3(2+x)^6\) is approximated by \(a+b x+c x^2\), then \(a+b+c=\)TS EAMCET 2020 Medium
- The semi vertical angle of a right circular cone is \(30^{\circ}\). If the height of the cone is \(6.125 \mathrm{~cm}\), then the approximate value of the volume of the cone (in cubic \(\mathrm{cm}\) ) isTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- The direction cosines of two lines are connected by the relation \(l-m+n=0\) and \(2 l m-3 m n+n l=0\). If \(\theta\) is the angle between these two lines, then \(\cos \theta=\)TS EAMCET 2024 Medium
- \(\cos \left[\cos ^{-1}\left(-\frac{1}{7}\right)+\sin ^{-1}\left(-\frac{1}{7}\right)\right]\) is equal toTS EAMCET 2003 Medium
- A solid sphere is rolling without slipping on a semi-circular track of radius \(10 \mathrm{~m}\) as shown in the figure. The radius of solid sphere is much smaller than the radius of semi-circular track. At the lowest point, it has a velocity \(10 \mathrm{~m} / \mathrm{s}\). To what maximum angle \(\theta\) from the vertical will the sphere travel before it comes back down? Neglect the rolling friction between the sphere and the track. (Take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )
TS EAMCET 2018 Medium - Which of the following describes an ideal gas? (i) The volume occupied by a gas molecule is negligible. (ii) The collision between ideal gases are elastic. (iii) Particles are very small compared to the distance between each other.TS EAMCET 2020 Easy
- Define \(f: R \rightarrow R\) by \(f(x)= \begin{cases}(x-a) \frac{e^{\frac{1}{(x-a)}}-1}{\frac{1}{(x-a)}}, 1 & \text { for } x \neq a \ 0, & \text { at } x=a\end{cases}\) Then which one of the following is true?TS EAMCET 2020 Easy
- If thenTS EAMCET 2021 Easy