TS EAMCET · Maths · Differential Equations
At any point on a curve, the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point. If the curve passes through , then the equation of the curve is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
According to the question, dydx=x+xy ⇒dydx-xy=x The linear differential equation can be written as dydx+Pxy=Qx So, here Px=-x & Qx=x The integrating factor of the equation is e-∫xdx=e-x22 So, the solution of differential equation is…
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