Let the solution curve y = y(x) of the differential equation (4 + x²)dy - 2x(x² + 3y + 4)dx = 0 pass through the origin. Then y(2) is equal to _ _ _ _ _ _ _.

Differential Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Morning shift · Q36

JEE Main 202226 Jun, Morning shiftMathematicsMediumDifferential Equations163× since 2002

Let the solution curve y = y(x) of the differential equation

(4 + {x^2})dy - 2x({x^2} + 3y + 4)dx = 0

pass through the origin. Then y(2) is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 26 Jun, Morning shift · Q36

JEE Main 202226 Jun, Morning shiftMathematicsMediumDifferential Equations163× since 2002

Let the solution curve y = y(x) of the differential equation

(4 + {x^2})dy - 2x({x^2} + 3y + 4)dx = 0

pass through the origin. Then y(2) is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.