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/sci/ - Science & Math


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8943946 No.8943946 [Reply] [Original]

Dear physicists,

what happens next? Please explain.

>> No.8943952

>why diferentials are a meme .jpg

>> No.8943959

I guess you integrate them twice or sth

>> No.8943968

Uhhhhhhhhhhhhhhh integration machine broke

>> No.8944120

>>8943946
x/2
∫ x dx = x^2/2, but you want it w.r.t. x^2, so it's the square root.

>> No.8944122

>>8944120
Plus C

>> No.8944271

Right hand side: dx^2 = 2x dx, so replace dx^2 with 2x dx getting the integral of 2x^2 dx which is (2/3)x^3 + b
Left hand side: Simply integrate y dy, then integrate the result of that to get (1/6)*y^3 + cy + d

So (2/3)x^3 + b = (1/6)*y^3 + cy + d
Now you need to solve for b, c and d by using concrete values.

t. mathematician

>> No.8944293

>>8943946

double integral

>> No.8944299

>>8944293
you'll get 2 constants

+C and either +Cy or +Cx

someone confirm this

>> No.8944308

>>8944299
That makes logical sense