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solving first order ode with initial value problem and root finding

Asked by Jamaleddin on 14 Dec 2013
Latest activity Edited by Jamaleddin on 14 Dec 2013

I'm trying to solve this problem:

b=a*(1/(a^2*k^2))^0.5; which b is function of a,k

F=(b^6-a^6)*sin(a)*sinh(b)+2*a^3*b^3*cos(a)*cosh(b)-2*a^3*b^3;' which if F is function of b,a

i'm trying to solve this first ordinary equation da/dk=(-diff(f,b)*diff(b,k))/(diff(F,a)+diff(F,b)*diff(b,a) intial value a(0)=1.8

how can write this problem with matlab?

I’m trying to solve this first order ode problem with initial value problem. I want to plot “a” versus “k”. I want to use initial value problem and root finding method to solve this first order ode. I attached pdf file. I explain in this pdf file.

thanks

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