tiffg7305 tiffg7305
  • 05-10-2017
  • Mathematics
contestada

Find the solution to the initial value problem (1 + x^{5}) y' + 5 x^{4} y = 5 x^{8}

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LammettHash
LammettHash LammettHash
  • 06-10-2017
[tex](1+x^5)y'+5x^4y=5x^8[/tex]
[tex]\bigg((1+x^5)y\bigg)'=5x^8[/tex]
[tex](1+x^5)y=5\displaystyle\int x^8\,\mathrm dx[/tex]
[tex](1+x^5)y=\dfrac59x^9+C[/tex]
[tex]y=\dfrac{5x^9+C}{9(1+x^5)}[/tex]
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