Download App

Differential Equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
Question
Solve : $\frac{d y}{d x}=5 x+7$
✓

Answer

$
\begin{array}{ll}
\frac{d y}{d x}=5 x+7 & \\
\quad \therefore d y=(5 x+7) d x
\end{array}
$
On integrating $\int d y=\int(5 x+7)=\frac{5 x^2}{2}+7 x+ C$
$\therefore y=\frac{5}{2} x^2+7 x+ C$, where C is an integration constant.

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

Determine if f defined by $f(x)=\left\{\begin{array}{c}x^2 \sin \frac{1}{x}, \text { if } x \neq 0 \\ 0, \text { if } x=0\end{array}\right.$ is a continuous function?
→
Find the value of $\int \frac{x d x}{\left(1-x^2\right)^{3 / 2}}$ :
→
Is the measure of 10 g/cm3 scalar or vector?
→
Find the integral: $\int \frac{1}{1+\tan x} d x$
→
Write the order of the differential equation representing the famliy of curve y = ax + a3 .
→
Evaluate the following integrals:
$\int\text{x}^4\text{dx}$
→
Write the degree of the following differrntial equation?
$5\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}-\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}-6\text{y}=\log\text{x}$
→
If a leap year is selected at random, what is the chance that it will contain 53 tuesdays?
→
Using principal value, evaluate the following:
$\cos^{-1}\Bigg(\cos\frac{2\pi}{3}\Bigg)+\sin^{-1}\Bigg(\sin\frac{2\pi}{3}\Bigg)$.
→
Find the integral: $\int \frac{x+2}{2 x^{2}+6 x+5} d x$
→