WBJEE · Maths · Differential Equations
The differential equation of \(\mathrm{y}=\mathrm{ae}^{\mathrm{bx}}\) (a & \(\mathrm{b}\) are parameters) is
- A \(\mathrm{yy}_1=\mathrm{y}_2^2\)
- B \(\mathrm{yy}_2=\mathrm{y}_1^2\)
- C \(\mathrm{yy}_1^2=\mathrm{y}_2\)
- D \(\mathrm{yy}_2^2=\mathrm{y}_1\)
Answer & Solution
Correct Answer
(B) \(\mathrm{yy}_2=\mathrm{y}_1^2\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Hints: } y=a \cdot e^{b x} \ldots \ldots \ldots \ldots \text { (i) } \\ & y_1=a b e^{b x} \\ & y_1=b y \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \text { (ii) } \\ & y_2=b_1 \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \text {…
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