Math 104-02 Differential Equations
Assignment 6: Section 2.6 (Solutions)
Section 2.6: Exact Equations and Integrating Factors
1. Two chemicals, A and B , are combined to form a third chemical C . The rate of reaction is proportional to the
product of the

Math 104-02 Differential Equations
Assignment 3: Section 2.2 (Problems)
Section 2.2: Separable Equations
2
1. Solve the differential equation y ' = x
2
2. Solve the differential equation y ' = x
y
y (1 + x 3 )
3. Solve the differential equation y ' + y 2

Math 104-02 Differential Equations
Assignment 3: Section 2.2 (Solutions)
Section 2.2: Separable Equations
2
1. Solve the differential equation y ' = x
Solution
Answer:
y
3y 2 2 x 3 = c2 ; y 0
Explanation: This is a First Order Linear DE that is separable,

Math 104-02 Differential Equations
Assignment 7: Section 2.7 (Solutions)
Section 2.7: Numerical Approximations Eulers Method
Some of the following problems may call for extensive numerical computations. That amount of computing that is
reasonable for you

Math 104-02 Differential Equations
Assignment 4: Section 2.3 (Solutions)
Section 2.3: Modeling with First Order Equations
1. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per
liter is then pump

Math 104-02 Differential Equations
Assignment 5: Section 2.4 (Solutions)
Section 2.4: The Difference Between Linear and Non-Linear Equations
1. Consider the IVP below.
( t 3 ) y ' + Ln ( t ) y
= 2t ; y (1) = 2
Without solving, determine an interval in whi

Math 104-02 Differential Equations
Assignment 6: Section 2.6 (Solutions)
Section 2.4: Exact Equations and Integrating Factors
1. Two chemicals, A and B , are combined to form a third chemical C . The rate of reaction is proportional to the
product of the

Math 104-02 Differential Equations
Assignment 5: Section 2.4 (Solutions)
Section 2.4: The Difference Between Linear and Non-Linear Equations
1. Consider the IVP below.
( t 3 ) y ' + Ln ( t ) y
= 2t ; y (1) = 2
Without solving, determine an interval in whi

Math 104-02 Differential Equations
Assignment 4: Section 2.3 (Problems)
Section 2.3: Modeling with First Order Equations
1. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per
liter is then pumpe

Math 104-02 Differential Equations
Assignment 7: Section 2.7 (Problems)
Section 2.7: Numerical Approximations Eulers Method
Some of the following problems may call for extensive numerical computations. That amount of computing that is
reasonable for you t

Math 104-02 Differential Equations
Assignment 5: Section 2.4 (Solutions)
Section 2.4: The Difference Between Linear and Non-Linear Equations
1. Consider the IVP below.
( t 3 ) y ' + Ln ( t ) y
= 2t ; y (1) = 2
Without solving, determine an interval in whi