MATLAB: Solving ode with inital value

ode

disp('a) Solve DE with inital value')
disp('Dy/dt=(y/x)+(2x^3cosx^2)/y, y=(sqrt(pi))=0')
syms y(x)
[y]=dsolve(diff(y)==(y/x)+(2*x^3*cos*(x^2))/y, y(sqrt(pi))==0)
% plot

I keep getting an error, can anyone help me correct the input of the eqn into dsolve? thanks

Best Answer

There should not be a "*" between the "cos" and the "(x^2)"

Related Solutions

MATLAB: Calculating answers for ODE question

It may depend on your MATLAB version. Assuming I interpreted your equation correctly, in R2016a, this code:

syms x(t) y(t) y0
[y]=dsolve(diff(y) == exp(2*x)*cos(y)^2, y(0) == y0)

produces this result:

y =
atan(tan(y0) + int(exp(2*x(x)), x, 0, t, 'IgnoreSpecialCases', true, 'IgnoreAnalyticConstraints', true))

Alternatively, if ‘y’ is a function of ‘x’ rather than ‘t’, this works:

syms y(x) y0
[y]=dsolve(diff(y) == exp(2*x)*cos(y)^2, y(0) == y0)
y =
atan(exp(2*x)/2 + tan(y0) - 1/2)

Choose the one that works for you.

MATLAB: Undefined variable “cos” or class “cos”. Error in P4Afara_Question2 (line 5) z = (cos(x)).cos(sqrt(x.^2 + y.^2)).exp(-1abs(0.2*x));

 z = (cos(x)) .* cos(sqrt(x.^2 + y.^2)) .* exp(-1*abs(0.2*x));

Best Answer

Related Solutions

MATLAB: Calculating answers for ODE question

MATLAB: Undefined variable “cos” or class “cos”. Error in P4Afara_Question2 (line 5) z = (cos(x)).*cos(sqrt(x.^2 + y.^2)).exp​(-1*abs(0.​2*x));

Related Question

MATLAB: Undefined variable “cos” or class “cos”. Error in P4Afara_Question2 (line 5) z = (cos(x)).cos(sqrt(x.^2 + y.^2)).exp(-1abs(0.2*x));