Category: differential equations

How to solve second-order homogeneous linear differential equations w/ constant coefficients: basic idea

The tutor shows the quadratic method (pka, characteristic equation) behind 2nd order LDEs w/ constant coefficients. An exponential function of the form y=ekt has the first derivative y’=kekt and second derivative y”=k2ekt Seeing an equation like, for example, y” -3y’

Differential equations: exact differential equation

The tutor explores how to detect and solve exact differential equations with a very simple example. When a differential equation of the form P(x,y) +Q(x,y)y’ = 0 results from the implicit differentiation of an original equation F(x,y)=c, the equation P(x,y)

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