Recent content by Cadbury

Hi! Thank you for your fast response hehe. So, = [ 2y+6(x^2) ] / [ (y^2) - 2 (x^3)] is this the answer? because i thought i should be using x=u+h, y=v+k, the equation will then be homogenous and then seperable

Hi! When you are given conditions in the problem, for example y(0)=1 and y'(0)=0, you substitute this to the general solution which refers to the solution you have obtained from seperating and differentiating and you will obtain your partial solution :)

Hello! How do you find the solution of this equation that passes through (1,2)? 2 xy dy/dx = y^2 - 2 (x^3) I have a problem with using the latex feature sorry if it is hard to read :( Thank you! :)

Oh, I get it now haha, first I have to use integration by parts where u= x, dv= e^ -x then uv - integral(vdu) then after -xe^-x +e^-x - e^-x = -xe^-x hehe

So v' is the one to be integrated and v is the answer, why is it not -xe^-x - e^-x ? :confused: Thank you very much!

so, i can just show a matrix then find the determinant and then it is done? :) Thank you!

Thank you! :) :) :)

Thank you very much! :) :) :)

Hi, so I am given this problem: Using the Wronskian, show that 1, x, x^2,..., x^(n-1) for n>1 are linearly independent. The wronskian is not zero for at least one value in the interval so it is linearly independent, I just do not know how to show it properly.Thank you! :D

Hi! So I am solving this problem: Find the solution that passes through (1,2) First I tried substituting x= u+1 y= v+2 dx = du dy = dv to the equation but I cannot find the solution any help will be appreciated, thank you! :D

Hi, please help me solve this problem :) [FONT=Palatino Linotype]Reduce (2x + 3y - 5) dx + (3x - y - 2) dy = 0 into a homogenous equation I know that a differential equation Mdx + Ndy is homogeneous in x and y and if M and N are homogeneous functions of the same degree but given this, I have...