Consider the initial value problem: y0 = 3 + x−y, y(0) = 1 (a)
Solve it analytically. (b) Solve it using Euler’s method using step
size h = 0.1 and find an approximation to true solution at x = 0.3.
(c) What is the error in the Euler’s method at x = 0.3
1) Solve the given initial-value problem.
(x + y)2 dx + (2xy + x2 − 3) dy =
0, y(1) = 1
2) Find the general solution of the given differential
equation.
x dy/dx + (4x +
1)y =
e−4x
y(x) =
Give the largest interval over which the general solution is
defined. (Think about the implications of any singular points.
Enter your answer using interval notation.)
Determine whether there are any transient terms in the general
solution. (Enter the transient...
1. solve the initial value problem.
(t^(2)+1)y'+2ty=tant , y(0)=2
2.find the solution to this initial value problem.
yy'=e^x+x , y(0)=y_0
y_0 is a nonzero constant.