The complementary function(C.F.) of the differential equation (D³ – 8)y = sin 4x is cje2" + e¯ c2 cos v5æ + c3 sin v/5æ cje2* + e ,2x C2 cos / 3x + C3 sin v3x cje2« + e C2 cos v 6x + c3 sin v6x 4cje2" + e¯® C2 cos v 7x + c3 sin v7æ

Q: Solve dy/dx=sin(x+y)+cos(x+y)

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Q: solve y''-y'=xex  using undetermined coefficient. The characteristic equation will be r2-r=0

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Q: Let c be a real number. By taking the necessary derivatives, show that the function f(x,t)= ln(x+ct)…

A: The given function is

Q: Match the differential equation with its direction field. y'- sin(10x) sin(10y) 20) -0.3 1-0.2 1…

A: Remark: We know that the slope field is a graphical representation of a differential equation. This…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.