Download App

DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
MCQ
Degree and order of the differential equation $\frac{\text{d}^2\text{y}}{\text{dx}^2}=\Big(\frac{\text{dy}}{\text{dx}}\Big)^2$ are respectively:
  • ✓
    1, 2
  • B
    2, 1
  • C
    2, 2
  • D
    1, 1
✓

Answer

Correct option: A.
1, 2
The given differential equation is

$\frac{\text{d}^2\text{y}}{\text{dx}^2}=\Big(\frac{\text{dy}}{\text{dx}}\Big)^2$

The degree and order of this equation are 1 and 2 respectively.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from DIFFERENTIAL EQUATIONS→DIFFERENTIAL EQUATIONS — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

$\int_{}^{} {\sqrt x {e^{\sqrt x }}\;dx = } $
→
The area of region enclosed by the parabolas  ${y^2} = 4x$ and ${x^2} = 4y$ is
→
Let $m$ and $n$ be odd integers such that $0< m < n$. If $f(x) ={x^{\frac{m}{n}}}$ for $x \in R$, then
→
Which of the following is a second order differential equation?
→
Water is being filled at the rate of $1\, cm ^{3} / sec$ in a right circular conical vessel (vertex downwards) of height $35\, cm$ and diameter $14 \,cm$. When the height of the water level is $10\, cm$, the rate (in $cm ^{2} / sec$ ) at which the wet conical surface area of the vessel increases is
→
For each real number $x$ such that $ - 1 < x < 1,$let $A(x)$ be the matrix ${(1 - x)^{ - 1}}\left[ {\begin{array}{*{20}{c}}1&{ - x}\\{ - x}&1\end{array}} \right]$ and $z = \frac{{x + y}}{{1 + xy}}$ Then
→
Suppose a continuous function $f:(0, \infty) \rightarrow R$ satisfies $f(x)=2 \int_0^x t f(t) d t+1, \forall x \geq 0$.Then, $f(1)$ equals
→
Choose the correct answer from given four options in each of the Exercise : The value of the determinant $\begin{vmatrix}\text{x}&\text{x}+\text{y}&\text{x}+2\text{y}\\\text{x}+2\text{y}&\text{x}&\text{x}+\text{y}\\\text{x}+\text{y}&\text{x}+2\text{y}&\text{x}\end{vmatrix}$ is :
→
If ${I_n} = \int_0^{\pi /4} {{{\tan }^n}\theta \,d\theta ,} $ then ${I_8} + {I_6}$ equals
→
The function f : R → R defined by f(x) = (x - 1)(x - 2)(x - 3) is:
→