How Graph differential equations with Matlab

Looking to get some help on how to use matlab to solve the following equation problem 1, all help is appreciated! Thank You! I haven't used matlab in 2 years very rusty, image is reference to original problem statement. List of equations

    %%PROBLEM 1
    syms y(x)
    ode = y*diff(y,x)+36*x == 0;
    ySol(x) = dsolve(ode)
    ezplot(y(x))

[Rena Berman]

(Answers Dev) Restored edit

Answer 1

[Star Strider]

The integrated equations produce results that are pure imaginary. You have to plot the real and imaginary parts of each solution separately with ezplot. You also have to define the initial condition, y(0).

Try this:

syms y(x)
ode = y*diff(y,x)+36*x == 0;
ySol = dsolve(ode, y(0) == 0)

figure
subplot(2,1,1)
ezplot(real(ySol(1)))
subplot(2,1,2)
ezplot(imag(ySol(1)))
figure
subplot(2,1,1)
ezplot(real(ySol(2)))
subplot(2,1,2)
ezplot(imag(ySol(2)))

[jake thompson]

Thank you, it looks like it is working on all my first order equations. Would you do something different if you had a second order differential equation?

[Star Strider]

Yes, if the second-order differential equation required it.

[Gökhan Bekir Demir]

What if the differential equation is not homogenic?

Answer 2

[Ritesh]

syms y(x) ode = y*diff(y,x)+36*x == 0; ySol = dsolve(ode, y(0) == 0) figure subplot(2,1,1) ezplot(real(ySol(1))) subplot(2,1,2) ezplot(imag(ySol(1))) figure subplot(2,1,1) ezplot(real(ySol(2))) subplot(2,1,2) ezplot(imag(ySol(2)))

[Dyuman Joshi]

This non-formatted code is copy-pasted from Star Strider's (accepted) answer.

If you want to give an answer, I recommend you provide an original one. This blatantly copied answer will be deleted soon.

And if you had researched a bit to give an original answer, you would have found out the using ezplot is not recommended.