Answer to Question #58419 in Differential Equations for Joseph

Question

1. The differential equation
d2ydx2+(dydt)3=x2
is of order
3
2
1
0
2. 2 Any solution which is obtained from the general solution by giving particular values to the arbitrary constants is called ?
singular solution
definite solution
indefinite solution
Particular solution
3. If in an ordinary or partial differential equation, the dependent variables and its derivatives occur to degree one only, and not as higher powers or products, the equation is said to be
linear
singular
singleton
non linear
4. The _____ of a differential equation is the highest exponent of the highest order derivative appearing in it after the equation has been expressed in the form free from radicals and any fractional power of the derivatives or negative power.
order
total
power
degree
5. Which of the following represent the solution of the differential equation
d2ydx2+4y=0
5tan2x+5cos2x
5sin2x+4cos2x
5sin2x−3cos2x
5sin22x−3cos2x