MHT CET 2025 Mathematics question

MathematicsDifferential EquationMHT CET 2025

The equation of the curve passing through the point (0,2) given that the sum of the ordinate and abscissa of any point exceeds the slope of the tangent to the curve at that point by 5 is

Answer: (B)

Solution

The condition says , i.e. . This is linear with integrating factor , so . Integrating by parts, . Hence

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Question ID VK-103022