Let dy/dt = y + 4t + (y + 4t)^2 – 4.
Use change of variables u = y + 4t to find the general solution.
dy Solve the initial value problem (t+1). dt = y + (4t² + 4t) (t + 1), y(1) = 9 g(t) =
Solve the following initial value problem: dy/dt+ 0.3ty=4t with y(0)=9.
(4)Use variation of parameters to find the general solution of da 3r-3y+4 dt dy = 2x- 2y-1 dt
dy Solve the initial value problem (t+1) dt (4t2 + 4t) (t+1), y(1) = 7 y(t)
#6 (50 pts) Find the general solution of the given system. = x+y dt dy dt -2x - y
Find the general solution of the differential equation: dy/dt=(-y/t)+6. Use lower case c for constant in answer. y(t)=
dy Find the solution of dt - 5y (4 – y), y(0) = 20. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y =
Find the general solution to the system of differential equations: dx/dt = 2x - y dy/dt = 3x - 2y please write legible
Consider the following system: dx/dt=y(x^2+y^2-1) dy/dt= -x(x^2 +y^2-1) Find the equilibrium solution. 13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of 13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of
dy Find the general solution of the differential equation: dt 2ty + 4e -ť. What is the integrating factor? u(t) = Use lower case c for the constant in answer below. y(t) =