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Vector Algebra

Question
CBSEENMA12032905
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Find the differential equation that will represent the family of straight lines y = m x + c, where m, c (∈ R) are parameters.

Solution

The equation of the family of lines is
                      y = mx + c
therefore space space space space space space space space space dy over dx space equals space straight m
Again differentiating w.r.t. 'x' we get, 
fraction numerator straight d squared straight y over denominator dx squared end fraction space equals space 0
This is required differential equations.

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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