Question: Need help with MAPLE PROJECT please type every commmand for each step 1)You are going to analyze the solution to the ode dy/dx=f(x,y), where f(x,y)is
Need help with MAPLE PROJECT
please type every commmand for each step
1)You are going to analyze the solution to the ode dy/dx=f(x,y), where f(x,y)is a 3rd degree polynomial that you will randomly generate where the coefficients are integers between -5 to 5. Next you will rename this DE as myode so it does not change anymore. Then you will be asked to:
A.Solve the general solution using dsolve so that you get a solution without an integral. If an integral appears, keep generating different polynomials in the step above until this no longer happens. (2pts)
B.Sketch the directional field. (2pts)
C.Using the ode you generated, you can use the solve command for equations to get a real root of the polynomial part. Use this to obtain a constant solution for this DE and graph it using the phaseportrait command and any initial condition that satisfies the solution. (4pts)
D. Is the solution a singular solution? (2pts)
2.Do the same A. to C. steps for the ode dy/dx=
. When you do C, you are going to try to use different initial conditions (y(0)=C) till you start getting error statements. Once you get these error statements, replace C with the positive value you obtain in the statement. Keep doing this until you finally obtain one with no error. Explain why this is happening. (total of 10pts)
CU COST Sn y(1 p2
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