Question
1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial condition y(-4)=1:
0.1(y+2)(4-y)
2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to solve the equation y(0)=3 to estimate y(2), Then solve the equation with the initial condition y(0)=3 and step size 0.1.
Then solve to find the actual value of y(2) and compare.
3) Solve the differential equation for initial condition y(0)=3 for dy/dt=t/y.
Explain why dy/dx=(x+y)/(x-y) is not a separable differential equation.
0.1(y+2)(4-y)
2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to solve the equation y(0)=3 to estimate y(2), Then solve the equation with the initial condition y(0)=3 and step size 0.1.
Then solve to find the actual value of y(2) and compare.
3) Solve the differential equation for initial condition y(0)=3 for dy/dt=t/y.
Explain why dy/dx=(x+y)/(x-y) is not a separable differential equation.