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(See Solution) Solve the differential equations (d y)/(d x)=(√x)/(e^y) (d y)/(d θ)=(e^y sin ^2 θ)/(y sec θ) (you do not need to

Question: Solve the differential equations

  1. \(\frac{d y}{d x}=\frac{\sqrt{x}}{e^{y}}\)
  2. \(\frac{d y}{d \theta}=\frac{e^{y} \sin ^{2} \theta}{y \sec \theta}\) (you do not need to solve for \(y\) after integrating)
  3. \(\frac{d z}{d t}+e^{z+t}=0\)

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