The following differential equation has 3 d2ydt2 -4 dydt 3-y2-2-x

Given differential equation nbsp; 3 ( d^2ydt^2 )+4 ( dydt )^3+y^2+2=x The derivative with highest order = d^2ydt^2 Hence the power of the highest order der ...

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Question

The following differential equation has $3 (\frac{d^{2} y}{d t^{2}}) + 4 {(\frac{d y}{d t})}^{3} + y^{2} + 2 = x$

degree = 2, order = 1

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degree = 1, order = 2

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degree = 4, order = 3

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degree = 2, order = 3

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Solution

The correct option is B degree = 1, order = 2
Given differential equation

$3 (\frac{d^{2} y}{d t^{2}}) + 4 {(\frac{d y}{d t})}^{3} + y^{2} + 2 = x$

The derivative with highest order = $\frac{d^{2} y}{d t^{2}}$

Hence the power of the highest order derivative = 1

therefore;

degree = 1

order = 2

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The following differential equation has 3(d2ydt2)+4(dydt)3+y2+2=x

The correct option is B degree = 1, order = 2Given differential equation 3(d2ydt2)+4(dydt)3+y2+2=x The derivative with highest order = d2ydt2 Hence the power of the highest order derivative = 1 therefore; degree = 1 order = 2

The following differential equation has $3 (\frac{d^{2} y}{d t^{2}}) + 4 {(\frac{d y}{d t})}^{3} + y^{2} + 2 = x$

The correct option is B degree = 1, order = 2
Given differential equation

$3 (\frac{d^{2} y}{d t^{2}}) + 4 {(\frac{d y}{d t})}^{3} + y^{2} + 2 = x$

The derivative with highest order = $\frac{d^{2} y}{d t^{2}}$

Hence the power of the highest order derivative = 1

therefore;

degree = 1

order = 2