COMEDK · Maths · 32. Differential Equations
Degree of the differential equation \(\log \left(\dfrac{d y}{d x}\right)^{\dfrac{1}{2}}=5 x+4 y\) is
- A 1
- B Not defined
- C 4
- D 2
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
The given differential equation is \(\log \left(\dfrac{dy}{dx}\right)^{\dfrac{1}{2}} = 5x + 4y\). Removing the logarithm by taking the exponential of both sides, we get \(\left(\dfrac{dy}{dx}\right)^{\dfrac{1}{2}} = e^{5x+4y}\). Squaring both sides to eliminate the fractional…
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