Use the method of variation of parameters to find a particular solution of the given differential equation. Then check your answer by using the method of undetermined coefficients. y'' − y' − 2y = 2e−t

Most animals give birth during a general time of year. this is because animals naturally breed so that their young will be born at the time of year when there will be adequate food supply. the bar graph shows the number of live births of a jackrabbit native to california over the course of year x. based on the data, which of the following would be an appropriate conclusion? a) in general, rabbits give birth during the spring months b) in general, rabbits give birth during the summer months c) in general,m california jackrabbits give birth during the spring months d) in general, california jackrabbits give birth during the summer months

High schoolmathematics 5 points keith is the leading goal scorer for a team in an ice hockey league. last season, he scored 42 goals in 82 games. assuming he scores goals at a constant rate, what is the slope of the line that represents this relationship if the number of games is along the x-axis and the number of goals is along the y-axis?

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?