AP EAMCET · Maths · Differential Equations
The solution of the differential equation \(\frac{d y}{d x}=\frac{x-2 y+1}{2 x-4 y}\) is
- A \((x-2 y)^2+2 x=c\)
- B \((x-2 y)^2+x=c\)
- C \((x-2 y)+2 x^2=c\)
- D \((x-2 y)+x^2=c\)
Answer & Solution
Correct Answer
(A) \((x-2 y)^2+2 x=c\)
Step-by-step Solution
Detailed explanation
Given that, \(\frac{d y}{d x}=\frac{x-2 y+1}{2 x-4 y}\) Put \(x-2 y=z \Rightarrow 1-2 \frac{d y}{d x}=\frac{d z}{d x}\)…
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
- The area (in square units) of the triangle formed by the lines \(x=0, y=0\) and \(3 x+4 y=12\), isAP EAMCET 2005 Easy
- If the product of the lengths of the perpendiculars from any point on the hyperbola \(16 x^2-25 y^2=400\) to its asymptotes is \(p\) and the angle between the two asymptotes is \(\theta\), then \(p \tan \frac{\theta}{2}=\)AP EAMCET 2018 Medium
- If \(f(x)=3 x+\frac{12}{x}\) is continuous on \(\mathbb{R}-\{0\}\) and \(M\) is its maximum value, then \(\lim _{x \rightarrow M}(f x)=\)AP EAMCET 2023 Easy
- For an ellipse with eccentricity \(\frac{1}{2}\) the centre is at the origin. If one directrix is \(x=4\), then the equation of the ellipse isAP EAMCET 2008 Easy
- \(\frac{d}{d x}\left\{\left(1+x^2\right) \tan ^{-1}(x)\right\}=\)AP EAMCET 2020 Easy
- If the line segment joining the points \((1,0)\) and \((0,1)\) subtends an angle of \(45^{\circ}\) at a variable point P , then the equation of the locus of P isAP EAMCET 2024 Medium
More PYQs from AP EAMCET
- \(A=\left[\begin{array}{ccc}0 & k & k \\ k & -4 & -6 \\ k & -3 & -5\end{array}\right]\) is a singular matrix forAP EAMCET 2025 Medium
- There are two dice \(A\) and \(B\). Die \(A\) has 4 red and 2 white faces and \(B\) has 2 red and 4 white faces. A coin is tossed once, if it shows head, die \(A\) is rolled, if it shows tail, die \(B\) is rolled, if the probability that die \(A\) is used is \(\left(\frac{32}{33}\right)\) when it is given that red turns up every time in first \(n\) throws, then \(n=\)AP EAMCET 2020 Medium
- If the vertices of a \(\triangle A B C\) are \(A=(2,3,5)\), \(B=(-1,3,2), C=(3,5,-2)\), then the area of the \(\triangle A B C\) (in sq. units) isAP EAMCET 2018 Easy
- \(50 \mathrm{~g}\) of a substance is dissolved in \(1 \mathrm{~kg}\) of water at \(+90^{\circ} \mathrm{C}\). The temperature is reduced to \(+10^{\circ} \mathrm{C}\). The density is increased from 1.1 to \(1.15 \mathrm{~g} \mathrm{cc}^{-1}\). What is the \(\%\) change of molarity of the solution?AP EAMCET 2022 Medium
- If the curved surface area of right circular cylinder inscribed in a sphere of radius is maximum then height of the cylinder will beAP EAMCET 2020 Medium
- Let and , Then which of the following statement is true?AP EAMCET 2021 Easy