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  1. G

    Dy/dx = (y^2) /x , form differential equation

    1. Homework Statement my ans is lnx = (-1/y) + c (-1/y) = lnx -c y = -1/ (lnx -c ) , but the answer given is (-1/ln x )+ C , how to get the answer given ? 2. Homework Equations 3. The Attempt at a Solution
  2. G

    Direction of shearing force

    i think the first one is correct , because the shearing force must be applied in 2 different direction , so that the object will be 'teared' . i think the second 1 is incorrect
  3. G

    Direction of shearing force

    1. Homework Statement why the shearing force acting on the object in the first diagram is in different direction , while in the second photo , it's in same direction ? 2. Homework Equations 3. The Attempt at a Solution in my opinion , it should be in different direction , because the...
  4. G

    Initial velocity

    2 /0.8 = 2.5 1 / (0.4^2) = 6.25 so , the ans is It's 6.25 times , not 6 times?
  5. G

    Initial velocity

    yes, but i still cant understand the velocity increases by 6 times...
  6. G

    Initial velocity

    1. Homework Statement how to know that the nozzle increases the velocity of water by 6 times? it's not given .... and no data for initial velocty given 2. Homework Equations 3. The Attempt at a Solution
  7. G

    Integrating factor

    can you be fore specific , telling me how should i start with ?
  8. G

    Integrating factor

    i still didnt get the idea, can you explain further?
  9. G

    Integrating factor

    do u mean R(x , y) , how to do it ? i have never studied this before
  10. G

    Integrating factor

    that's why i multiply the whole equation with the integrating factor to get the exact equation , however , i didnt get it . Is my working totally wrong ? or which part is wrong ?
  11. G

    Integrating factor

    1. Homework Statement is my integral R(x) and R(y) correct ? why it look so complicated ? 2. Homework Equations 3. The Attempt at a Solution
  12. G

    Cosh x / sinhx in the form of e^x

    If cosh3x then e^x is substituted with e^3x ??
  13. G

    Cosh x / sinhx in the form of e^x

    1. Homework Statement I was told that coshx = (e^x + e^-x) / 2 , why cosh2x = (e^2x - e^-2x) / 2 ? 2. Homework Equations 3. The Attempt at a Solution
  14. G

    Second shift theorem

    1. Homework Statement why the f(t-1) isn't = 1-1 = 0 ? since f(t) = 1 , a=1 2. Homework Equations 3. The Attempt at a Solution
  15. G

    Limit of series

    what is the purpose of not making L =r , but make L less than r ? isn't the L is the factor = r ?
  16. G

    Density of ideal gas

    1. Homework Statement in this notes , i was told that the PV=mRT , why ? shouldn't PV= NRT , N=number of moles ? it should be PV = m/M (RT) , right ? 2. Homework Equations 3. The Attempt at a Solution
  17. G

    Second shift theorem

    i gt stucked here , how to continue?
  18. G

    Second shift theorem

    is my working until here correct ?
  19. G

    Limit of series

    can you give example for the explaination above ?
  20. G

    Second shift theorem

    ya , why not the final ans not L {g(p+a)} ?
  21. G

    Limit of series

    well, for this part of the notes, why do we need to make r is between L and 1 , and we take r is larger than L at the lower part .... isn't the L itself is the factor r ?
  22. G

    Limit of series

    what will happen to the limit ? i really have no idea...
  23. G

    Limit of series

    taking x=-4 , k =2 , the term is -16/27 taking x=4 , k=2 the term is 16/27 , i couldn't find out why there is a need to put modulus ???
  24. G

    Limit of series

    Ya, it come from the top. But, why would we need to put iy as absolute value?
  25. G

    Second shift theorem

    1. Homework Statement for the alternative form of second shift property (4.8) , why he integral of (e^-sp) g(p+a) dp isn't equal to integral of (e^-sp) g(t) dp ? why it will become L{ g(t+a) } ? 2. Homework Equations 3. The Attempt at a Solution
  26. G

    Limit of series

    1. Homework Statement why we need to make x as absolute value ? as we can see, the original is x , why we we need to make x as absolute value ? is the working wrong ? 2. Homework Equations 3. The Attempt at a Solution
  27. G

    Center of pressure

    ok , i get my yc now , how to transform the ( (rho)g sin theta ( I xxc) / PcA )into the same form as 3-22a?
  28. G

    Center of pressure

    how to facrorise yc ? there are 3 terms there , but there are only 2 terms contain yc .... and i cant factorise PoA ...
  29. G

    Center of pressure

    no , i still gt stucked here
  30. G

    Vertical rise of liquid

    i think i get the idea already . why the distance is distance between the front and back wall ? Isn't teh dstance= distance between the right and left wall as shown in the figure 3-52 ?
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