Continuity And Differentiability

Question

The differential equation for the family of curves,x² +y² -2ay = 0 where a is an arbitrary constant is

2(x²-y²)y' = xy

(x²+y²)y' = xy

2(x²+y²)y' = xy

(x²- y²)y' = xy

Solution

2(x²-y²)y' = xy

2x + 2yy′ - 2ay′ = 0
$straight a space equals space fraction numerator straight x space plus space yy apostrophe over denominator straight y apostrophe end fraction space left parenthesis eliminating space straight a right parenthesis rightwards double arrow space left parenthesis straight x squared minus straight y squared right parenthesis straight y apostrophe space equals space 2 xy space$

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Continuity And Differentiability

The differential equation for the family of curves,x² +y² -2ay = 0 where a is an arbitrary constant is

2(x²-y²)y' = xy

(x²+y²)y' = xy

2(x²+y²)y' = xy

(x²- y²)y' = xy

Some More Questions From Continuity and Differentiability Chapter

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For Daily Free Study Material Join wiredfaculty

Continuity And Differentiability

The differential equation for the family of curves,x2 +y2 -2ay = 0 where a is an arbitrary constant is 2(x2-y2)y' = xy (x2+y2)y' = xy 2(x2+y2)y' = xy (x2- y2)y' = xy

Some More Questions From Continuity and Differentiability Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The differential equation for the family of curves,x² +y² -2ay = 0 where a is an arbitrary constant is

2(x²-y²)y' = xy

(x²+y²)y' = xy

2(x²+y²)y' = xy

(x²- y²)y' = xy