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.
$\bigg(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\bigg)^{2}+\cos\bigg(\frac{\text{dy}}{\text{dx}}\bigg)=0$
✓

Answer

The given differential equation is
$\bigg(\frac{\text{d}^2\text{y}}{\text{dx}^2}\bigg)^2 + \text{cos} \bigg(\frac{\text{dy}}{\text{dx}}\bigg) = 0$
The highest order derivative present in the given differential equation is $\frac{\text{d}^2\text{y}}{\text{dx}^2}.$ therefore, its order is 2.
Since the given differential equation is not a polynomail $\frac{\text{dy}}{\text{dx}}.$ therefore, its degree is not defined.

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" 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

Evaluate the definite integral $\int_{0}^{1} \frac{d x}{\sqrt{1+x}-\sqrt{x}}$
→
If f(a + b - x) = f (x), then $\int_{a}^{b} x f(x) d x$ is equal to
→
What is the degree of the following differential equation?

$\text{5x}\Bigg(\frac{\text{dy}}{\text{dx}}\Bigg)^{2}-\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}-\text{6y = log x}$.

→
What is the value of the determinant $\begin{vmatrix} 0 & 2 & 0 \\ 2 & 3 & 4 \\ 4 & 5 & 6 \end{vmatrix}?$
→
Compute the following:
$\begin{bmatrix}\text{a}^2+\text{b}^2 & \text{b}^2+\text{c}^2 \\ \text{a}^2+\text{c}^2 & \text{a}^2+\text{b}^2 \end{bmatrix}+\begin{bmatrix}2\text{ab} & 2\text{bc} \\-2\text{ac} &-2\text{ab}\end{bmatrix}$
→
Let A be a matrix of order 3 × 4. If R1 denotes the first row of A and C2 denotes its second column, then determine the orders of matrices R1 and C2.
→
Prove that $ \cos ^ { - 1 } \left( \frac { 4 } { 5 } \right) + \cos ^ { - 1 } \left( \frac { 12 } { 13 } \right) = \cos ^ { - 1 } \left( \frac { 33 } { 65 } \right).$
→
Evaluate the definite integral$\int_0^{\frac{\pi }{4}} {\frac{{\sin x \cos x}}{{{{\cos }^4}x + {{\sin }^4}x}}} dx$
→
The number of arbitrary constants in the general solution of a differential equation of fourth order are:
→
If $\overrightarrow{\text{a}} = \text{x}\hat{\text{i}} + 2 \hat{\text{j}} - \text{z}\hat{\text{k}}\text{ and } = \overrightarrow{\text{b}} = 3\hat{\text{i}} - \text{y}\hat{\text{j}} + \hat{\text{k}}$ are two equal vectors, then write the value of x + y + z.
→