Summer 2023

Practice First Exam: Math 078,

Section 1.2 Initial Value Problem

Given that y=c₁e+ce is a two parameter family of solution of the second order

DE

=y.

dr

Find a particular solution of the DE with the given initial condition y(-1)=2, y'(1) =-2

Section 1.2 Initial Value Problems

In this problem show by differentiation that y=-

-parameter family of solutions for this

1 st order DE dy

dx

=y-y²

Find the particular solution such that y(0)

1

1+C₁.e*

8

is a one