AP EAMCET · Maths · Differential Equations
For the differential equation \(\frac{d^3 y}{d x^3}=0\), \(y=a x^2+b x+c\) is
- A the general solution
- B a particular solution
- C not a solution
- D a solution, but not a particular solution
Answer & Solution
Correct Answer
(A) the general solution
Step-by-step Solution
Detailed explanation
Obviously, \(y=a x^2+b x+c\) is a general solution of the given differential equation. Hence, option (a).
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
- \(\cos ^4 \frac{\pi}{24}-\sin ^4 \frac{\pi}{24}=\)AP EAMCET 2022 Medium
- A straight line which makes equal intercepts on positive \(X\) and \(Y\) axes and which is at a distance 1 unit from the origin intersects the straight line \(y=2 x+3+\sqrt{2}\) at \(\left(x_0, y_0\right)\). Then \(2 x_0+y_0\) is equal toAP EAMCET 2010 Hard
- \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) are non-coplanar vectors. If \(\begin{aligned} & \mathbf{a}+3 \mathbf{b}+4 \mathbf{c}=x(\mathbf{a}-2 \mathbf{b}+3 \mathbf{c})+y(\mathbf{a}+5 \mathbf{b}-2 \mathbf{c}) \\ & +z(6 \mathbf{a}+14 \mathbf{b}+4 \mathbf{c}), \text { then } x+y+z=\end{aligned}\)AP EAMCET 2022 Easy
- \(\operatorname{Sech}^{-1}(\sin \alpha)=\)AP EAMCET 2025 Medium
- In a game, a pair of dice is rolled 24 times. If a person wins the game by not getting 6 on both the dice in any one of the 24 rolls, then the probability that a person wins the game isAP EAMCET 2023 Medium
- If \(\quad z=\sec ^{-1}\left(\frac{x^4+y^4-8 x^2 y^2}{x^2+y^2}\right), \quad\) then \(x \frac{\partial z}{\partial x}+y \frac{\partial z}{\partial y}\) is equal toAP EAMCET 2008 Medium
More PYQs from AP EAMCET
- A stone thrown with velocity ' \(u\) ' at angles ' \(\theta^{\prime}\) and \(\left(90^{\circ}-\theta\right)\) with the horizontal reaches to maximum heights \(\mathrm{H}_1\) and \(\mathrm{H}_2\) respectively. Its horizontal range isAP EAMCET 2023 Medium
- Which of the following is most stable form for the given structure, after rearrangement?
AP EAMCET 2020 Easy - If and thenAP EAMCET 2019 Medium
- If the angles between the sides of the triangle ABC formed by \(\mathrm{A}(2,3,5)\), \(B(-1,3,2)\) and \(C(3,5,-2)\) are \(\alpha, \beta\) and \(\gamma\), then \(\sin ^2 \alpha+\sin ^2 \beta+\sin ^2 \gamma=\)AP EAMCET 2025 Medium
- The probability distribution of a random variable X is as follows. Then the mean of X is
\(\mathrm{X} = \mathrm{x}_{\mathrm{i}}\) \(-2\) \(-1\) \(0\) \(1\) \(2\) \(\mathrm{P}\left(\mathrm{X} = \mathrm{x}_{\mathrm{i}}\right)\) \(\mathrm{k}^2 / 3\) \(\mathrm{k}^2\) \(2 \mathrm{k}^2 / 3\) \(k / 2\) \(k / 2\) AP EAMCET 2025 Medium - \(\operatorname{Arg}\left[\frac{(1+i \sqrt{3})(-\sqrt{3}-i)}{(1-i)(-i)}\right]=\)AP EAMCET 2024 Easy