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...Separable dierential equations sect ode solutions to explicit and implicit euler homogeneous denition given functions h g r a rst order on the unknown function y is called i has form t remark adierential equation f example cos determine whether below solution since it equivalent are not uniquely dened another choice here c every ey linear b with non constant theorem if continuous primitives respectively that u then innitely many satisfying algebraic where arbitrary nd their find all integrate both sides of z dt substitution du implies tdt...