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Vector Algebra

Question
CBSEENMA12036128
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If left parenthesis 2 space sin space straight x right parenthesis space dy over dx space plus space left parenthesis space straight y space plus 1 right parenthesis space cos space straight x space equals space 0 space and space straight y left parenthesis 0 right parenthesis space equals 1 space then space straight y open parentheses straight pi over 2 close parentheses is equal to

  • 4/3

  • 1/3

  • -2/3

  • -4/3

Solution

B.

1/3

left parenthesis 2 space plus space sin space straight x right parenthesis dy over dx plus left parenthesis straight y space plus 1 right parenthesis space cos space straight x space equals 0 straight d over dx left parenthesis 2 space plus space sin space straight x right parenthesis space left parenthesis straight y plus 1 right parenthesis space equals 0 left parenthesis 2 space plus space sin space straight x right parenthesis space left parenthesis straight y plus 1 right parenthesis space equals space straight c straight x space equals space 0 comma space straight y space equals 1 rightwards double arrow space straight c space equals 4 straight y space plus 1 space equals space fraction numerator 4 over denominator 2 space plus space sin space straight x end fraction straight y open parentheses straight pi over 2 close parentheses space equals space 4 over 3 minus 1 space equals space 1 third

Some More Questions From Vector Algebra Chapter

Determine order and degree (if defined) of differential equations:
y' + y = ex

Determine order and degree (if defined) of differential equations:
y'' + (y')2 + 2 y = 0

Determine order and degree (if defined) of differential equations:
y″ + 2y′ + sin y = 0

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