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DIFFERENTIAL EQUATIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSDIFFERENTIAL EQUATIONS1 Mark
MCQ
The general solution of differential equation is $(y + c)^2= cx$ where ccis an arbitrary constant. The order and degree of the differential equation are respectively:
  • ✓
    $1, 2$
  • B
    $2, 2$
  • C
    $1, 1$
  • D
    $2, 1$
✓

Answer

Correct option: A.
$1, 2$

Given equation is
$=(\text{y}+\text{c})^2=\text{cx}$
$\Rightarrow\text{y}=\sqrt{\text{cx}}-\text{c}$
$\Rightarrow\frac{\text{dy}}{\text{dx}}=\frac{\sqrt{\text{c}}}{\text{x}}$
$\Rightarrow\Big(\frac{\text{dy}}{\text{dx}}\Big)^2=\frac{\text{c}}{\text{x}}$
The order of differential equation is the order of the highest derivative in the equation is $1$
The degree of differential equation is the power of the highest order derivative in the equation is $2$

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