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Home  >>  CBSE XII  >>  Math  >>  Differential Equations
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For each of the differential equations given below,indicate its order and degree(if defined) $(ii)\;\big(\large\frac{dy}{dx}\big)^3-4\big(\large\frac{dy}{dx}\big)^2+7y=\sin x$

This is second part of multipart q1

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Toolbox:
  • If the highest order derivative present in the differential equation is $\large\frac{dy}{dx}$,then it is of order 1.
  • If the highest order present in the differential equation is $\large\frac{d^ny}{dx^n}$ then the order is n.
  • The highest power raised to the highest order determines the degree of the equation.
Step 1:
In this given problem ,the highest order derivative present in the differential equation is $\large\frac{dy}{dx}$.Hence the order is 1.
Step 2:
It is a polynomial equation in $y'$ and the highest power raised to $\large\frac{dy}{dx}$ is 1.So its degree is 1.
answered Jul 29, 2013 by sreemathi.v
 

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