Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
Let ydx + (x - y3)dy = 0 be a differential equation.
What is the solution of the differential equation?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
ydx + (x – y3 )dy = 0
\(y\frac{dy}{dx}+ x = y^3\)
\(\frac{dx}{dy} + x \frac{1}{y} - y^2\) (linear differential equation)
L.E = \(e^{\int\frac{1}{y}dy}\) = y
x(L.F) = \(\int(LE)y^2dy\)
xy = \(\int y^3dy\)
⇒ 4xy – y4 = c
∴ Option (d) is correct
Last updated on May 30, 2025
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