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JEE Main 2022 Mathematics question

MathematicsDifferential EquationJEE Main 2022

Suppose y = y(x) be the solution curve to the differential equation dy/dx − such that y(x) is finite. If a and b are respectively the x- and y-intercepts of the tangent to the curve at x = 0, then the value of a − 4b is equal to .

Answer: 3

Solution

The integrating factor is . So y , i.e. y = −2 + . For lim y(x) to be finite as we need C = 0, so

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Question ID VK-025101