6.1.1 problem number 1

problem number 416

Added January 2, 2019.

Problem 1.1 from Handbook of first order partial differential equations by Polyanin, Zaitsev, Moussiaux.

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

Mathematica


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

Maple


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

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