Solving an equation with one variable

How can I solve :

(q*a^4/(E*t^4)) = k1*y/t + k2*(y/t)^3;

q,a,t,E,k1,k2 are constants; where as y is the variable.

How to write matlab code to solve this in terms of y.

Answer 1

[Star Strider]

One approach:

Out = fzero(@(y) (q*a^4/(E*t^4)) - k1*y/t + k2*(y/t)^3, 2)

That assumes that all ‘constants’ are scalars. Choose the initial estimate (here 2) that best approximates the value for ‘y’ that you want to find.

Answer 2

[Andrei Bobrov]

syms q a t E k1 k2 y
eq = (q*a^4/(E*t^4)) == k1*y/t + k2*(y/t)^3;
sol = solve(eq,y,'MaxDegree', 3);