Make a code for these equation and make it right to run it

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Make a code for these equation:(1+x^2)y"-4y'+6y=0 and y"-xy'-x^2y=0 and y"-xy=0 make a code for these 3 equation
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Dyuman Joshi
Dyuman Joshi 2023-5-24
MATLAB Answers doesn't entertain Homework questions.
If you want help from us, show what you have attempted and ask a specific question where you are having trouble.
If you need help to start with the coding, I suggest you take the free MATLAB Onramp tutorial to learn the essentials of MATLAB.

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回答(1 个)

Srivardhan
Srivardhan 2023-6-2
Hi George,
As per my understanding, you would like to write the given Second order differential equations in MATLAB.
MATLAB represents the variables and functions in differential equations using symbolic scalar variables and functions. Assuming x, y(x) as symbolic scalar variable and function, also we represent y’(x) and y” (x) using the inbuilt “diff” function.
Here is the code you can check:
syms x y(x)
eqn = (1+x^2)*diff(y,x,2) - 4*diff(y,x) + 6*y == 0;
eqn1 = diff(y,x,2) - x*diff(y,x) - x^2*y == 0;
eqn2 = diff(y,x,2) - x*y == 0;
eqn, eqn1, eqn2 represents the mentioned 2nd order differential equations.
For further reference, please check out the links to learn more about writing the MATLAB code of differential equations.
I hope this resolves the issue you were facing.

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