COMEDK · Maths · 32. Differential Equations
\(\text { If } \dfrac{d y}{d x}=y+3>0 \text { and } y(0)=2 \text { then } y(\log 2) \text { is equal to }\)
- A 5
- B 7
- C \(-\)2
- D 13
Answer & Solution
Correct Answer
(B) 7
Step-by-step Solution
Detailed explanation
The given differential equation is \(\dfrac{dy}{dx} = y + 3\). Rearranging the terms to separate variables, we get \(\dfrac{dy}{y + 3} = dx\). Integrating both sides, \(\int \dfrac{dy}{y + 3} = \int dx\), which gives \(\ln|y + 3| = x + C\). Given \(y(0) = 2\), substituting…
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