Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
reset()
x=var('x') #initialize variable
y=function('y',x) #define the variables in the function.eg. y=f(x).
DE=x*diff(y,x)-2*y #write the ODE
S=desolve(DE,y,x) #use desolve()
print S
DE=diff(S, x)*x - 2*S #validate the solution
#SAGE could possibly modify desolve() to accept as an argument from the user,a solution to the ODE and
#return true or false(or 0 or 1) depending upon whether the solution satisfies the equation or not.
#As you can see in the output desolve() evaluates the general solution but doesn't provide any facility to
#test for a solution.
print DE
Solution by:
- Gaurav Luthra, Student,KIIT ,Gurgaon
- Ankur Khurana, Student, ITM,Gurgaon