CBSE (Science) Class 12CBSE
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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. - CBSE (Science) Class 12 - Mathematics

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Question

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.

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 Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 17 | Page no. 414
Solution 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. Concept: Methods of Solving First Order, First Degree Differential Equations - Linear Differential Equations.
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