Differential Equations - Exact Equations
tutorial.math.lamar.edu › Classes › DEOct 08, 2018 · d d x ( Ψ ( x, y ( x))) = 0 d d x ( Ψ ( x, y ( x))) = 0. Now, if the ordinary (not partial…) derivative of something is zero, that something must have been a constant to start with. In other words, we’ve got to have Ψ ( x, y) = c Ψ ( x, y) = c. Or, y 2 + ( x 2 + 1) y − 3 x 3 = c y 2 + ( x 2 + 1) y − 3 x 3 = c.
Exact DE Solver – GeoGebra
www.geogebra.org › m › hvuqpruwThis applet may be used as a solver for exact differential equations. As for any solver the best way to use it is to first solve the problem yourself. A DE if . Follow the instructions on the applet. The applet checks the DE for exactness in which case it gives step-wise solution and shows the slope field too.