Q1.Differential equations are equations containing functions y = f(x), g(x) and
Answer : Option CExplaination / Solution:
Differential equations are equations containing functions y = f(x), g(x) and derivatives of y with respect to x.
Answer : Option AExplaination / Solution:
Order of a differential equation is defined as the order of the highest order derivative of the dependent variable present in the differential equation.
Q3.Degree of a differential equation, when the equation is polynomial equation in y′ is
Answer : Option BExplaination / Solution:
The power or index of the highest ordered derivative in the polynomial is the degree of the differential equation provided equation is in the standard form.
Answer : Option AExplaination / Solution: Order = 3 ,Since the highest order derivative is y′′′ but degree cannot be defined ,because the deriative term y’ is present in exponential form.
Q10.Determine order and degree (if defined) of (dsdt)4 + 3sd2sdt2 = 0
Answer : Option CExplaination / Solution: Order = 2 , degree = 1.Since the equation has d2sdt2 as the highest derivative term.its order is 2 and its index is 1
Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1
Mark for Wrong Answer : -0.5
Mark for Left Answer : 0