TS EAMCET · Maths · Differential Equations
The solution of \(\frac{d y}{d x}+1=e^{x+y}\) is
- A \(e^{-(x+y)}+x+c=0\)
- B \(e^{-(x+y)}-x+c=0\)
- C \(e^{x+y}+x+c=0\)
- D \(e^{x+y}-x+c=0\)
Answer & Solution
Correct Answer
(A) \(e^{-(x+y)}+x+c=0\)
Step-by-step Solution
Detailed explanation
Given, \(\quad \frac{d y}{d x}+1=e^{x+y}\) Put \(x+y=z\)…
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
- In a triangle \(\mathrm{ABC}, a=5, b=4\) and \(\tan \frac{\mathrm{C}}{2}=\sqrt{\frac{7}{9}}\), then its inradius \(r=\)TS EAMCET 2025 Medium
- In a if and thenTS EAMCET 2021 Easy
- Match the functions givenin List-I with their relevant characteristics from List-II.

The correct answer isTS EAMCET 2024 Medium - The general solution of the differential equation \(\left(\frac{1}{x^2}+x\right) \frac{d y}{d x}+3 y=1\) isTS EAMCET 2018 Medium
- In the space the equation by \(+c z+d=0\) represents a plane perpendicular to theTS EAMCET 2002 Easy
- If \(\frac{3 x^4-2 x^2+1}{(x-2)^4}=A+\frac{B}{x-2}+\frac{C}{(x-2)^2}+\frac{D}{(x-2)^3}+\frac{E}{(x-2)^4}\), then \(2 A+3 B-C-D+E=\)TS EAMCET 2024 Hard
More PYQs from TS EAMCET
- A variable plane is at a distance of 6 wits from the origin. If it meets the coordinate axes in \(A, B\) and \(C\), then the equation of the locus of the centroid of the \(\triangle A B C\) isTS EAMCET 2019 Medium
- An alcohol \(\mathrm{X}\left(\mathrm{C}_5 \mathrm{H}_{12} \mathrm{O}\right)\) when reacted with conc. HCl and anhydrous \(\mathrm{ZnCl}_2\) produces turbidity instantly. The alcohol X can be prepared from which of the following reactions?TS EAMCET 2024 Hard
- The equation of the straight line passing through the point of intersection of \(5 x-6 y-1, \quad 3 x+2 y+5=0 \quad\) and perpendicular to the line \(3 x-5 y+11=0\) isTS EAMCET 2017 Medium
- The curves \(y=x^2+9 x+20\) and \(y=x^2+b x+c\) intersect the \(X\)-axis at the points \(\left(\alpha_i, 0\right),(i=1,2,3,4)\). If \(\alpha_1 < \alpha_2 < \alpha_3 < \alpha_4\) be such that \(\left|\alpha_1-\alpha_3\right|=\left|\alpha_2-\alpha_4\right|=8\), then the sum of all possible values of \(b\) and \(c\) isTS EAMCET 2020 Medium
- Let \(A, B, C\) be three points on \(\overline{O X}, \overline{O Y}, \overline{O Z}\) respectively at the distances 3, 6, 9 from origin. Let \(Q\) be the point \((2,5,8)\) and \(P\) be the point equidistant from \(O, A, B, C\). Then, the coordinates of the point \(R\) which divides \(P Q\) in the ratio \(3: 2\) isTS EAMCET 2018 Medium
- If \(\mathbf{a}, \mathbf{b}, \mathbf{c}, \mathrm{d}\) are 4 vectors such that \(\mathbf{a} \cdot \mathbf{b}=0\), \(|\mathbf{a} \times \mathbf{c}|=|\mathbf{a}\|\mathbf{c}|,| \mathbf{a} \times \mathbf{d}|=| \mathbf{a}\| \mathbf{d}|\), then \([\mathbf{b c d}]=\)TS EAMCET 2018 Medium