G(t) = ( sin t 0 ) = sin t ( 1 0 ) . Since an entry of g
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G(t) = ( sin t 0 ) = sin t ( 1 0 ) . Since an entry of g(t) contains a sine function, substitute an expression of the fo
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G(t) = ( sin t 0 ) = sin t ( 1 0 ) . Since an entry of g(t) contains a sine function, substitute an expression of the form xp(t) = (cost)a + (sin t)b = cost ( a1 a2 ) + sin t ( b1 b2 ) into Eq. (ii) and match the coefficients of the sine function and the cosine function on both sides of the resulting equation to obtain the coupled systems Aa = b, Ab = ?a ? ( 1 0 ) . Show that (A2 + I2)a = ? ( 1 0 ) and solve for a. Then substitute this result into the second equation above and solve for b.
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