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harddy/dx Differential Equations·25 pts·1 solved

Separable Equation with a Log Solution

Problem Statement

Solve dydx=xe−y,y(0)=0\text{Solve } \frac{dy}{dx} = x e^{-y}, \quad y(0) = 0

Your Answer (variable: x)

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f(x)

Tips

  • Use standard math syntax: ^ for powers, * for multiplication.
  • Functions: sin, cos, tan, exp, log (natural log), sqrt.
  • Constants: pi, e.
  • For antiderivatives you can omit "+ C".