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Determine order and degree (if defined) of differential equation $y'+y=e^x$

$\begin{array}{1 1}order1, degree2 \\order2, degree1 \\ order1, degree1 \\order1, degree\; cannot\; be\; defined \end{array} $

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1 Answer

  • The highest order derivative present in the differential equation determines the order of the equation.The degree to which the derivative is raised determines the degree of the equation.
Step 1:
The highest order derivatives present in the differential equation is $\large\frac{dy}{dx}$.Hence the order is 1.
Step 2:
It is a polynomial in $y'$ and the highest power raised to $\large\frac{dy}{dx}$ is also 1.So its degree is 1.
answered Jul 29, 2013 by sreemathi.v