Practice: Separable Differential Equations

Solve the following differential equation, using the given boundary conditions to find a particular solution: cossecddcscsec(𝑥)(𝑦)𝑦𝑥=(𝑦)(𝑥), 𝑥=0, 𝑦=𝜋4.

  • Atancot(𝑦)𝑦=(𝑥)+1𝜋4
  • Btantan(𝑦)+1𝜋4=(𝑥)+𝑥
  • Ctantan(𝑦)+1𝜋4=(𝑥)𝑥
  • Dtantan(𝑦)𝑦=(𝑥)+1𝜋4
  • Etantan(𝑦)+𝑦=(𝑥)+1𝜋4

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