Download App

STD 12 - 9. differential equations — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 9. differential equations1 Mark
MCQ
The general solution of the differential equation, $x \left( {\frac{{dy}}{{dx}}} \right) = y \cdot \ln \left( {\frac{y}{x}} \right)$ is :
where $c$ is an arbitrary constant.
  • A
    $y = xe^{1 -cx}$
  • B
    $y = xe^{1 + cx}$
  • C
    $y = ex . e^{cx}$
  • ✓
    all of the above
✓

Answer

Correct option: D.
all of the above
d

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 STD 12 - 9. differential equations→STD 12 - 9. differential equations — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The area of the triangle, whose vertices are $(3, 8), (-4, 2)$ and $(5, 1),$ is
→
The derivative of $\sin ^{-1}\left(2 x \sqrt{1-x^2}\right) \text{w.r.t.} \sin ^{-1} x \frac{1}{\sqrt{2}} < x < 1$,is
→
If $\text{f(x)}=\log_{\text{x}^2}(\log\text{x}),$ the f(x) at x = e is:
→
Solution set of the inequality $x \geq 0$ is
→
The equation $x^2- x - 2 = 0$ in three dimensional space is represented by:
→
Let $f: R \rightarrow R$ be defined as

$f(\mathrm{x})= -\frac{4}{3} x^{3}+2 x^{2}+3 x ,\quad x>0$

$\quad\quad\quad\quad 3 x e^{x}, \quad\quad\quad\quad\quad\quad\mathrm{x} \leq 0$

Then $\mathrm{f}$ is increasing function in the interval.

→
$\mathop {Lim}\limits_{n \to \infty } $$\frac{\pi }{{2\,n}}\,\,\left( {1\,\, + \,\,\cos \,\frac{\pi }{{2\,n}}\,\, + \,\,\cos \,\frac{{2\,\pi }}{{2\,n}}\,\, + \,\,.....\,\, + \,\,\cos \,\frac{{(n\, - \,1)\,\pi }}{{2\,n}}} \right)$ equal to
→
A line with direction cosines proportional to $2,1, 2$ meets each of the lines $x = y + a = z$ and $x + a = 2y = 2z$. The co-ordinates of each of the points of intersection are given by
→
Diffrential coefficient of ${\left( {{x^{\frac{{\ell \, + \,m}}{{m\, - \,n}}}}} \right)^{\frac{1}{{n\, - \,\ell }}}}\,\,\,\,.\,\,\,\,{\left( {{x^{\frac{{\,m + \,n}}{{n\, - \,\ell }}}}} \right)^{\frac{1}{{\,\ell \, - \,m}}}}\,\,\,.\,\,\,{\left( {{x^{\,\frac{{n\, + \,\ell \,}}{{\ell \,\, - \,\,m}}}}} \right)^{\frac{1}{{m\, - \,n\,}}}}\,$ w.r.t. $x$ is
→
Which one of the following statements is true
→