Download App

DIFFERENTIAL EQUATIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSDIFFERENTIAL EQUATIONS1 Mark
Question
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.
✓

Answer

 $\text{y}=\text{C}_{1}+\text{C}_{2}\text{e}^{\text{x}}+\text{C}_{3}\text{e}^{-2\text{x}+\text{C}_{4}}$
the given equation can be reduced to:
$\text{y}=\text{C}_{1}+\text{C}_{2}\text{e}^{\text{x}}+\text{C}_{3}\big(\text{e}^{-2\text{x}}\times\text{e}^{\text{C}_{4}}\big)$
Here, will be a constant.
We have $3$ constant as $C_1, C_2,$ and $C_3.$
Hence, the order of the differential equation is $3.$

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→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Integrate the functions in Exercises:
$\frac{1}{\cos^2\text{x}(1-\tan\text{x})^2}$
→
If matrix $A+B=\left[\begin{array}{ll}2 & 4 \\ 1 & 2\end{array}\right], A-B=\left[\begin{array}{ll}0 & 1 \\ 2 & 2\end{array}\right]$, then find matrix $A$.
→
State which of the following are not the probability distributions of a random variable. Give reasons for your answer.
X 0 1 2
P(X) 0.4 0.4 0.2
→
Is 'congruent' relation reflexive is any set of triangles ?
→
Write a unit vector in the direction of  $\overrightarrow{a} = 2\hat{i} - 6\hat{j} + 3\hat{k}.$
→
In set $A=\{0,1,2,3,4,5\} R$ is equivalence relation where $R =\{(a, b):(a-b)$ is divisible by 2$\}$. Write equivalence class [0].
→
Is the function $cos3x$ decreasing on $(0, \frac{\pi}{2})$?
→
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\frac{\text{d}^2\text{y}}{\text{dx}^2}=\Big(\frac{\text{dy}}{\text{dx}}\Big)^{\frac{2}{3}}$
→
Evaluate: $\int\limits_{2}^{4}\frac{\text{x}}{\text{x}^{2} +1}\text{dx}.$
→
Write the degree of the differrntial equation $\text{x}^{3}\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\Big)^{2}+\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{4}=0.$ 
→