# Q2: choose the right answer: 1. Determine whether y = e3t is a solution of ý...

Q2: choose the right answer: 1. Determine whether y = e3t is a solution of ý – 49 – 4y + 16 y = 0 ? ( a. y is not a solution b. y is a solution ) if you selected (a.), write only y = .... as the right solution. 2. Determine C, and C so that y(x) = Cje2x + Czet + 2 sin x will satisfy the conditions y(0) = 0 and y'(0) = 1? (a.{C=1,C=-1} b. {C=-1, C=1} c. {C=-1,C=2} d. {C=2, C;=-1} 3. Determine whether the equation y' 2xyey x2 + y2 sin is homogeneous? (a.it's not homogeneous b. it's homogeneous) 4. Solve axa-1 yb dx + bxºyb-1dy = 0 for nonzero values of the real constants a and b? (a. y = C2x + Cix b.y = C2xb/a C. y = 5+ Cixa/b d. y = czx-a/b) (10 Marks)

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