AP EAMCET · Maths · Differential Equations
The differential equation for which \(a x+b y=1\) is general solution is
- A \(\frac{d y}{d x}=x+c\)
- B \(y \frac{d^2 y}{d x^2}+x=1\)
- C \(\frac{d y}{d x}\)
- D \(\frac{d^3 y}{d x^3}=0\)
Answer & Solution
Correct Answer
(C) \(\frac{d y}{d x}\)
Step-by-step Solution
Detailed explanation
\(a x+b y=1\) Differentiating w.r.t. \(x\) \(a+b \frac{d y}{d x}=0 \Rightarrow \frac{d y}{d x}=\frac{-a}{b}\) Differentiating w.r.t. \(x\) \(\Rightarrow \frac{d^2 y}{d x^2}=0\) is the required differential equation.
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