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anonymous

  • 5 years ago

Solve the differential equation(antiderivatives calculus 2) f(x)= 12x^3+ 6x^2-7 with initial condition f(1)= 4

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  1. amistre64
    • 5 years ago
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    Hi Saif, you here?

  2. anonymous
    • 5 years ago
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    yea i am here

  3. anonymous
    • 5 years ago
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    its college calculus 2, antiderivatives are killin me. SO confusing

  4. anonymous
    • 5 years ago
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    Confused. There is no differential as written. Does "dx" multiply the polynomial?

  5. anonymous
    • 5 years ago
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    what do you mean?

  6. anonymous
    • 5 years ago
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    Are you asking us to just integrate/ find the antiderivative of the function f(x)?

  7. amistre64
    • 5 years ago
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    You want to the integral and its anchor at (1,4) right?

  8. anonymous
    • 5 years ago
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    yea i think so I thought it was just asking the antiderivative with that condition

  9. amistre64
    • 5 years ago
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    F(x)= (12/4)x^4+ (6/3)x^3 -7x + C F(x) = 3x^4 +2x^3 -7x +C solve for F(1) = 4 :)

  10. anonymous
    • 5 years ago
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    you are using big F(x), its giving you f'(x), wouldnt the notation change?

  11. anonymous
    • 5 years ago
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    its not the same convention as a general antiderivative

  12. amistre64
    • 5 years ago
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    naming is naming, I just did it to be flamboyant :)

  13. anonymous
    • 5 years ago
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    ok so the totation would be f(x) correct and then you find f(1)

  14. anonymous
    • 5 years ago
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    i mean you find C

  15. amistre64
    • 5 years ago
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    We find the "antiderivative" of the function to find a family of curves that we can adopt... then we apply (1,4) into it to see what our anchoring constant turns out to be, right?

  16. anonymous
    • 5 years ago
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    yea correct

  17. amistre64
    • 5 years ago
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    then "suit up" and find our constant :)

  18. anonymous
    • 5 years ago
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    i got 6

  19. amistre64
    • 5 years ago
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    4 = 3 +2 -7 +C 4 = 5-7 + C 4 = -2 + C 6 = C F(x) = 3x^4 +2x^3 -7x +6 yay!!!

  20. anonymous
    • 5 years ago
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    thanks so much. Can you take a look at the other antiderivative I posted. I am getting confused, he took like 2 antiderivatives?

  21. amistre64
    • 5 years ago
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    Didja notice me new "title"..... funny, i never was a sandwich before :)

  22. anonymous
    • 5 years ago
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    hahaahahaah

  23. amistre64
    • 5 years ago
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    ill check em out...

  24. anonymous
    • 5 years ago
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    its 2 below the this question

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