September 28

2.6.  Substitutions and Transformations

objective

• to be able to recognize differential equations as homogeneous, Bernoulli, linear coefficients or the form y' = G(ax+by)
• to be able to solve these equations

• substitution procedure
• homogeneous equations
• Bernoulli equations
• equations with linear coefficients
• equations of the form y' = G(ax + by)

solved problems - using key ideas

• identifying the types of equations, #1,3,5,7
• solving a homogeneous equation, #11
• solving an equation of the form dy/dx = g(ax + by), #17
• solving a Bernoulli equation, #23
• solving an equations with linear coefficients, #31
• guerrilla combat model, #47

QUESTION OF THE DAY

Find

SOLUTION

SOLUTION.  Use substitution by parts to obtain