MCQ
Which of the following equation is linear
- A$\frac{{dy}}{{dx}} + x{y^2} = 1$
- ✓${x^2}\frac{{dy}}{{dx}} + y = {e^x}$
- C$\frac{{dy}}{{dx}} + 3y = x{y^2}$
- D$x\frac{{dy}}{{dx}} + {y^2} = \sin x$
✓
Answer
Correct option: B.
${x^2}\frac{{dy}}{{dx}} + y = {e^x}$
b
(b) ${x^2}\frac{{dy}}{{dx}} + y = {e^x}$ can be written as
(b) ${x^2}\frac{{dy}}{{dx}} + y = {e^x}$ can be written as
$\frac{{dy}}{{dx}} + \frac{y}{{{x^2}}} = \frac{{{e^x}}}{{{x^2}}}$, which is a linear equation.
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