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Solve a second order differential equation with ODE45, RK4 and draw with power series

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jaehyeong park
jaehyeong park 2019-11-23
回答： JONNALA SISINDRA REDDY 2021-6-7
Hi, I am completely new to Matlab and am looking to solve a simple second order differential equation:
y''+x*y=0, −∞ < x < ∞.
I am looking to solve for y(x) with rk4, ode45
And plotting with power series these general solutions.
I understand this is a simple equation to solve and have done it fine on paper. However I have been trying different ways to solve it on matlab but to no avail.
Thanks in advance

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回答（2 个）

Jyotsna Talluri
Jyotsna Talluri 2019-11-26
Second order differential equations can be slved using 'dsolve'
syms y(x)
Dy = diff(y);
eqn = diff(y,x,2) == -x*y;
y(x) = dsolve(eqn);
y = simplify(y);
Refer to the dsolve for more information
JONNALA SISINDRA REDDY
syms y(x)
Dy = diff(y);
eqn = diff(y,x,2) == -x*y;
y(x) = dsolve(eqn);
y = simplify(y);

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