# Solving Partial Differential Equations by Change of Variables and Characteristic Curves

In solving this problem, derive the general solution of the given equation by using an appropriate change of variables.

1. ∂u/∂t - 2 ∂u/∂x = 2

Answer: u(x,t) = f(x + 2t) - x

In this exercise, (a) solve the given equation by the method of characteristic curves, and (b) check you answer by plugging it back into the equation.

2. ∂u/∂x + x2 ∂u/∂y = 0

Answer: (a) u(x,y) = f(1/3 x3 - y)

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#### Solution Summary

Solving Partial Differential Equations by Change of Variables and Characteristic Curves is investigated. The solution is detailed and well presented.

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