what is linear differential equation
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Amar Kumar 8 years, 2 months ago
Linear differential equations are differential equations having solutions which can be added together in particular linear combinations to form further solutions. They equate 0 to a polynomial that is linear in the value and various derivatives of a variable; its linearity means that each term in the polynomial has degree either 0 or 1.
Linear differential equations are of the form Ly=f where the differential operator L is a linear operator, y is the unknown function, and the right hand side f is a given function (called the source term) with the same domain as y.
For functions dependent on t we may write the equation more expressly as
Ly(t)=f(t)
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