In problems below, (a) identify the independent variable and the dependent variable of each equation (use 't' for the independen
t variable if an independent variable is not given explicitly); (b) give the order of each differential equation (enter '1' for first order, '2' for second order and so on; do not include the quotes); and (c) state whether the equation is linear or nonlinear. If your answer to (c) is nonlinear, make sure that you can explain why this is true. Equation Independant Dependant order linear/non-linear
y'= y- x^2 __________ __________ __________ __________
xy'= 2y __________ __________ __________ __________
x'' + 5x = e^-x __________ __________ __________ __________
The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature