Elementary Differential Equations Problems:
1) Find the solution of the initial value
problem of y" + 3y' = 0, y(0) = -2, y'(0) = 3
2) Find the general solution of the equation
4y" - 9y = 0
3) Find the general solution of the equation
dy/dt = 2t(y – 2y2)
4) Given the second order linear homogeneous
equation y"- 2y' + y = 0,
a) Verify that y1(t) = e^t and
y2(t) = t e^t are solutions of the...
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.