6.1.2 problem number 2

problem number 418

Added January 2, 2019.

Problem 1.2 from Handbook of first order partial differential equations by Polyanin, Zaitsev, Moussiaux.

Solve for \(w(x,y)\) \[ w_y = f(x,y) \]

Mathematica

\[\left \{\left \{w(x,y)\to \int _1^yf(x,K[1])dK[1]+c_1(x)\right \}\right \}\]

Maple

\[w \left ( x,y \right ) =\int \!f \left ( x,y \right ) \,{\rm d}y+{\it \_F1} \left ( x \right ) \]

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