A-Level Maths: H7-04 Differential Equations: Examples of Finding Particular Solutions

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ur videos have been a lifesaver over quarantine, thanks so so much <3

yuma
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Hello, would you mind explaining how you got 1/3 ln(y^3+1) in question 4?

faustagumbeleviciute
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I've been watching a lot of your vids, really helpful. Thank You!

ray
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Why are there no modulus brackets for natural log in question 3?

Lapichant
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Hi, why in question three is it wrong to put ln(y+1)=ln(x+1) +c to the power of e to cancel the ln and get y+1=x+1 + e^c and then insert the co-ordinates after to find the solution? Thanks.

finlaysleeman
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If I solve the integral of y^2/(y^3 +1)dx by substitution, I get 1/3ln(3y^3 + 3)? Is this the same as 1/3ln(y^3 +1)?

hs_hs
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for the first one, why cant you just minus the 0.5x^2. Then you have c = -0.5y^-2 - 0.5x^2. I get an answer of -1 out, why am i not getting the same as you?

jessicacallaghan
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at 4:51 cant u do (y+1)^-1 instead of ln(y+1)?

thanushan