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Vector Algebra

Question
CBSEENMA12032847
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For each of the differential equations given below, indicate its order and degree (if defined).
fraction numerator straight d to the power of 4 straight y over denominator dx to the power of 4 end fraction minus sin open parentheses fraction numerator straight d cubed straight y over denominator dx cubed end fraction close parentheses space equals 0



Solution
The given differential equation is
fraction numerator straight d to the power of 4 straight y over denominator dx to the power of 4 end fraction minus sin open parentheses fraction numerator straight d cubed straight y over denominator dx cubed end fraction close parentheses space equals space 0
Since the highest order derivative present in the given differential equation is fraction numerator straight d to the power of 4 straight y over denominator dx to the power of 4 end fraction comma therefore, order of the equation is 4. As sin space open parentheses fraction numerator straight d cubed straight y over denominator dx cubed end fraction close parentheses occurs in the equation, therefore, degree of the given equation is not defined. 

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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