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Find the Equation of a Curve Passing Through the Point (0, 2) Given that the Sum of the Coordinates of Any Point on the Curve Exceeds the Magnitude of the Slope of the Tangent to the Curve at that Point by 5. - Mathematics

Find the equation of a curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.

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Solution

The curve passes through point (0, 2).

Therefore, equation (2) becomes:

0 + 2 – 4 = Ce0

⇒ – 2 = C

⇒ C = – 2

Substituting C = –2 in equation (2), we get:

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APPEARS IN

NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 17 | Page 414
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