AP EAMCET · Maths · Differential Equations
The general solution of the differential equation \(\log \left(\frac{d y}{a x}\right)=a x+b y\) is
- A \(a e^{-b y}+b e^{a x}=c\)
- B \(a e^{a x}+b e^{-b y}=c\)
- C \(a e^{-b y}-b e^{a x}=c\)
- D \(a e^{b y}+b e^{-a x}=c\)
Answer & Solution
Correct Answer
(A) \(a e^{-b y}+b e^{a x}=c\)
Step-by-step Solution
Detailed explanation
Given differential equation…
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
- Let . If is such that and , then is equal to:AP EAMCET 2022 Hard
- If the magnitude of the vector product of the vector \(\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\) with a unit vector along the sum of the vectors \(2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\) and \(\lambda \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) is equal to \(\sqrt{2}\), then the value of ' \(\lambda\) ' isAP EAMCET 2020 Medium
- In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all constants are together?AP EAMCET 2021 Easy
- If \(A+B+C=270^{\circ}\), then \(\cos 2 A+\cos 2 B+\cos 2 C\) is equal to :AP EAMCET 2003 Easy
- If \(z=x-i y\) and \(z^{\frac{1}{3}}=a+i b\), then \(\frac{\left(\frac{x}{a}+\frac{y}{b}\right)}{a^2+b^2}=\)AP EAMCET 2019 Hard
- If \(l_1=\lim _{x \rightarrow 2^{+}}(x+[x]), l_2 \lim _{x \rightarrow 2^{-}}(2 x-[x])\) and \(l_3=\lim _{x \rightarrow \pi / 2} \frac{\cos x}{(x-\pi / 2)}\), then :AP EAMCET 2006 Medium
More PYQs from AP EAMCET
- Let \(\vec{a}=2 \hat{i}+\hat{j}-\hat{k}\) and \(\vec{b}=\hat{i}+3 \hat{j}-5 \hat{k}\) be two vectors, and \(\overrightarrow{\mathrm{r}}\) be a vector along the vector \(3 \overrightarrow{\mathrm{a}}-2 \overrightarrow{\mathrm{b}}\) such that \(|\overrightarrow{\mathrm{r}}|=\sqrt{74}\). If the direction of \(\vec{r}\) is opposite to that of \(3 \vec{a}-2 \vec{b}\), then \(\overrightarrow{\mathrm{r}}=\)AP EAMCET 2023 Hard
- The following figure shows a logic gate circuit with inputs A and B and output Y. If the voltage waveforms of A, B and Y are as given, then the logic gate is
AP EAMCET 2021 Medium - A toy of mass \(20 \mathrm{~g}\) at rest acquires a velocity \((3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}) \mathrm{ms}^{-1}\) in 2 seconds. Then the power of the toy isAP EAMCET 2023 Medium
- A bag contains \(2 n+1\) coins. It is known that \(n\) of these coins have a head on both sides, whereas the remaining \(n+1\) coins are fair. A coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is \(\frac{31}{42}\), then \(n\) is equal toAP EAMCET 2013 Easy
- Two light waves of wavelengths \(600 \mathrm{~nm}\) and \(200 \mathrm{~nm}\) incident on a metal surface. The maximum velocity of photoelectrons produced due to one wavelength is \(\frac{1}{3}\) of the maximum velocity of the photoelectrons produced due to the other wavelength, then the work function of the metal isAP EAMCET 2022 Easy
- The number of rotational degrees of freedom of a diatomic moleculeAP EAMCET 2022 Easy