Question: code class=asciimath>Differential equations y^(')=f(ax+by+k) can be made separable by using as a new unknown function v(x)=ax+by+k. Using this method, solve y^(')=(x+y-2)^(2).

code class="asciimath">Differential equations y^(')=f(ax+by+k) can be made separable by using as a new unknown function v(x)=ax+by+k. Using this method, solve y^(')=(x+y-2)^(2).

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