Maple 9 Learning Guide - Maplesoft

3.6 Solving Differential Equations Using the dsolve Command • 73{0 = 0, 1 = 1}To change the differential equation, or the definition of y(t), removethe definition with the following command.> y := ’y’;y := yWith Maple, you can use special functions, such as the Dirac deltafunction, also called the impulse function, used in physics.> ode2 := 10^6*diff(y(x),x,x,x,x) = Dirac(x-2) -> Dirac(x-4);ode2 := 1000000 ( d4y(x)) = Dirac(x − 2) − Dirac(x − 4)dx4 Specify boundary conditions> bc := {y(0)=0, D(D(y))(0)=0, y(5)=0};bc := {y(0) = 0, y(5) = 0, (D (2) )(y)(0) = 0}and an initial value.> iv := {D(D(y))(5)=0};iv := {(D (2) )(y)(5) = 0}> soln := dsolve({ode2} union bc union iv, {y(x)});