  # In Exercises 1-6 use variation of parameters to find a particular solution.y9y tan 3x1.

Question help_outlineImage TranscriptioncloseIn Exercises 1-6 use variation of parameters to find a particular solution. y9y tan 3x 1. fullscreen
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Step 1

Result used: help_outlineImage TranscriptioncloseGeneral form of ODE P(x)y'+Q(x)y R(x) Complementary function for distinct real roots: mx m,x Variation of param eters method W(yi, y)= PI Ax)(x)+B (x)y (x) where y>R(x) dx and B (x) R(x) W(x.y) A (x)= W(x. y) General solution: y(x)CF+PI fullscreen
Step 2

The given differential equation is

Step 3

Find the complementary function as follows.

The auxiliary ... help_outlineImage Transcriptionclosecos 3x sin3x W(y, y2)= 3 sin 3x 3cos 3x cos 3x(3cos 3x) sin 3x(3 sin 3x) 3(cos 3x+ sin23x) =3 fullscreen

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