Recent content by mathi85

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    Solution to Hydrostatic Bearing Integration Task

    Here is first part: ##\int_R_o^0 ##
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    Solution to Hydrostatic Bearing Integration Task

    Hi everyone! I would like to ask you for help with one of the tasks from my assignment. The rest of the assignment is done including some simple integration but I struggle with this one: Task "The total load capacity for a circular hydrostatic bearing is given as ##W=\int_0^{R_o} p_r(2πr dr) +...
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    What is the Solution for Differential Equation Task 7?

    But this is simple! I had some brain freeze... Thanks for help!
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    What is the Solution for Differential Equation Task 7?

    If B equals 0 as well then the graph will look like a Christmas tree. But why would B equal 0?
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    What is the Solution for Differential Equation Task 7?

    Task 7 Show that y=(1/4)tsin2t satisfies equation d2y/dt2+4y=cos2t Find the general solution and deduce the solution which satisfies y(0)=0 and y'(0)=0. What happens as t increases? Solution In the end I stay with: y=Acos2t+Bsin2t+(1/4)tsin2t...
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    Differential equations assignment T3

    It just didn't look right to me. Thank you very much for your help!
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    Differential equations assignment T3

    I'm getting that E=V+E/e(1/(CR))t This cannot be right can it?
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    Differential equations assignment T3

    Right I come to the point where: Ve(1/(CR))t=Ee(1/(CR))t+c /:e(1/(CR))t V=E+c/(e(1/(CR))t) if I apply t=0 when V=0 0=E+c c=-E and Part. Sol. V=E+[-E/e(1/(CR))t] Where am I going wrong?
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    Differential equations assignment T6

    I'm not sure if it's right but that's how I checked it: θ=(At+B)e-t+4 dθ/dt=(At+B)(-e-t)+Ae-t d2θ/dt2=(At+B)(e-t)+A(-e-t)-Ae-t t=0 θ=0 dθ/dt=0 A=-4 B=-4 [d2θ/dt2=(At+B)(e-t)+A(-e-t)-Ae-t]+2[0]+[(At+B)e-t+4]=4 -4+4+4-4+4=4
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    Differential equations assignment T6

    Hi! I would like to ask anyone with some spare time to check my assignment questions. Last time I was asked to post one task at a time so I will. Thank you in advance for your time. Task 6: In a galvanometer the deflection θ satisfies the diffrential equation: d2θ/dt2+2(dθ/dt)+θ=4...
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    Differential equations assignment T5

    Thank you for the reply! I'm actually not sure why I did it. y=3cosh(x/2)+0.5sinh(x/2) B=-3 ∴y=e-x{-2cos(x)-3sin(x)}+2ex
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    Differential equations assignment T3

    I keep trying... This is what I have now: Vet/(CR)=E/(CR)∫ e[1/(CR)]t dt Vet/(CR)=E/(CR)*CRet/(CR)+c
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    Differential equations assignment T5

    Hi! I would like to ask anyone with some spare time to check my assignment questions. Last time I was asked to post one task at a time so I will. Thank you in advance for your time. Task 5: Find the particular solution of the following differential equations: a) 12(d2y/dx2)-3y=0...
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