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Order of highest derivative occurring in the differential equation is called the …………… of the differential equation.

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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as Assertion (A): The order of the differential equation given by (dy)/(dx)+4y=sinx is 1. Reason (R): Since the order of a differential equation is defined as the order of the highest derivative occurring in the differential equation, i.e., for nth derivative (d^ny)/(dx^n) if n = 1.then it's order = 1. Given differential equation contains only (dy)/(dx) derivative with variables and constants.

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The power of higher ordered derivative when all the derivatives are made free from negative and / or fractional indices if any is called ………….. of the differential equation.

The order of the differential equation y'' + y^2+e^y'=0 is