alaloush

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These are questions asked by alaloush


 

"I am trying to solve these two algebraic equations for A and B "

 

eq1 := -(64*A*B^2*k[1]+28*B^2*k[2]+112*A*k[1]+105*k[2])*A/(105*B)-(32*A^2*B^2*k[1]+28*A*B^2*k[2]+56*A^2*k[1]+105*A*k[2]+210*a)/(105*B) = 0

-(1/105)*(64*A*B^2*k[1]+28*B^2*k[2]+112*A*k[1]+105*k[2])*A/B-(1/105)*(32*A^2*B^2*k[1]+28*A*B^2*k[2]+56*A^2*k[1]+105*A*k[2]+210*a)/B = 0

(1)

eq2 := -(64*A^2*B*k[1]+56*A*B*k[2])*A/(105*B)+(32*A^2*B^2*k[1]+28*A*B^2*k[2]+56*A^2*k[1]+105*A*k[2]+210*a)*A/(105*B^2) = 0

-(1/105)*(64*A^2*B*k[1]+56*A*B*k[2])*A/B+(1/105)*(32*A^2*B^2*k[1]+28*A*B^2*k[2]+56*A^2*k[1]+105*A*k[2]+210*a)*A/B^2 = 0

(2)

solve({eq1, eq2}, {A, B})

{A = RootOf(192*k[1]^2*_Z^3+440*k[1]*k[2]*_Z^2+(480*a*k[1]+210*k[2]^2)*_Z+315*a*k[2]), B = (1/2)*RootOf(1536*k[1]^2*RootOf(192*k[1]^2*_Z^3+440*k[1]*k[2]*_Z^2+(480*a*k[1]+210*k[2]^2)*_Z+315*a*k[2])^2+2512*k[1]*k[2]*RootOf(192*k[1]^2*_Z^3+440*k[1]*k[2]*_Z^2+(480*a*k[1]+210*k[2]^2)*_Z+315*a*k[2])+21*_Z^2+3840*a*k[1]+105*k[2]^2)/k[2]}

(3)

``

How can I find A and B explicitly

 

 

``


 

Download solve_equattion.mw

 

 
I have the following equation

diff(m(t, x), t)+diff((u(t, x)^2-(diff(u(t, x), x))^2)*m(t, x), x) = 0

How I can change it by using this transform

m(t,x)=u(t,x)-diff(u(t, x), x,x)

to get a new PDE only with u(t,x)

then I need to change u(t,x) by

u(t,x)=u(y)

where y=x−at

How I can do this in Maple?

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