Discuss the existence and uniqueness of a solution to the differential equation (7 plus t squared )y double prime plus t y prime minus y equals tangent t7+t2y′′+ty′−y=tant that satisfies the initial conditions y (4 )equals Upper Y 0y(4)=Y0, y prime (4 )equals Upper Y 1y′(4)=Y1 where Upper Y 0Y0 and Upper Y 1Y1 are real constants.

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x

Look at triangle wxy what is the length (in centimeters) of the side wy of the triangle?

Erinn wrote the equation –5x + 4y = 32 to represent her hourly wage (y) and how this wage has changed during each year that she worked at a company (x). what is the rate of change in erinn's hourly wage per year?