Verifying solutions to differential equations
Solutions to Differential Equations - Key takeaways. To verify that \(y(x)\) is a solution to the differential equation \(y'=f(x,y)\), evaluate \(y'(x) - f(x, y(x))\) and see if you get \(0\). If you do
Solutions to Differential Equations - Key takeaways. To verify that \(y(x)\) is a solution to the differential equation \(y'=f(x,y)\), evaluate \(y'(x) - f(x, y(x))\) and see if you get \(0\). If you do
Even if you don’t know how to find a solution to a differential equation, you can always check whether a proposed solution works. This is simply a matter of plugging the
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