TS EAMCET · Maths · Differential Equations
If is the solution of the differential equation , then ?
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
∵xdydx=x2+3y ⇒dydx−3x⋅y=x I.F=e∫−3xdx=e−3lnx=elnx−3=x−3 ∴The general solution is y⋅1x3=∫x⋅1x3dx ⇒yx3=−1x+c given, y(2)=4 ∴48=−12+c⇒c=1 ∴yx3=−1x+1…
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