- ху + 2у 3 3х, у(1) — 5

Find the general solution of the differential equation: 5t y+2y Use lower case c for the constant in your answer. Hint: The variation of parameters technique to solve these types of equations can be found in our textbook section 1.5, Homework exercise 25. = te "

It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involed) and whether or not the equation is linear. Linearity is important because the structure of the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear   for 2 3 and 4 it is also based on the drop down menu (in the picture)