Download App

DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
Question
Determine order and degree (if defined) of differential equations given in Exercise.
y" + 2y' + sin y = 0
✓

Answer

The given differential equation is
y" + 2y' + sin y = 0
The highest order derivative present in the given differential equation, is y" and index of its highest power is 1.
$\therefore$ the given differential equation is of order 2 and degree 1.

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 "1 Marks Question" 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

Find the length of perpendicular drawn from origin to plane $2 x+3 y+5 z-8=0$
→
Find the second order derivatives of the function given in Exercise:
$x^2 + 3x + 2$
→
Classify the following as scalar and vector quantities:
Distance.
→
Write the value of $\int x \operatorname{cosec}^2 x d x$ :
→
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\Big(\frac{\text{d}^2\text{y}}{\text{dx}^2}\Big)^2+\Big(\frac{\text{dy}}{\text{dx}}\Big)^2=\text{x}\sin\Big(\frac{\text{d}^2\text{y}}{\text{dx}}\Big)$
→
Find the principal value of ${\cot ^{ - 1}}\left( { \frac{-1}{{\sqrt 3 }}} \right)$
→
For what value of $\lambda$ are the vectors $\overrightarrow{a} = 2\hat{i} + \lambda\hat{j} + \hat{k}$ and $\overrightarrow{b} = \hat{i} - 2\hat{j} + 3\hat{k}$ prependicular to each other?
→
Find the direction cosines of the following vectors:
$3\hat{\text{i}}-4\hat{\text{k}}$
→
Let A be the set of all 50 students of Class X in a school. Let f : $A \rightarrow N$ be function defined by f(x) = roll number of the student x. Show that f is one-one but not onto.
→
Write the order of the differrntial quation associated with the primitive $\text{y}=\text{C}_{1}+\text{C}_{2}\text{e}^{\text{x}}+\text{C}_{3}\text{e}^{-2\text{x}+\text{C}_{4}}$ where $C_1, C_2, C_3, C_4$ are arbitrary constants.
→