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Differential Equationsmedium
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Consider the nonlinear differential equation dzdθ=z2sin⁡(θ)\frac{dz}{d\theta} = z^2 \sin(\theta)dθdz​=z2sin(θ). If z(0)=1z(0) = 1z(0)=1, what is the explicit solution z(θ)z(\theta)z(θ)?