Question: Determine the particular solution. (y2 + 7xy + 16x2)dx + x2dy = 0; X=1, y=1 x - t sin(x) = x' O 5(y+4x) = -y

Determine the particular solution. (y2 + 7xy + 16x2)dx + x2dy = 0; X=1, y=1 x" - t sin(x) = x' O 5(y+4x) = -y In(y) Not homogeneous O 5(y+4x) = 2-y O Homogeneous In(x) O 5 (x+ 4y) = *-y In(x) O 5(y-4x) = xty In (x) xy' + 2y = sin (x) Obtain the general solution. " _ 3x7+y O Homogeneous O Not homogeneous 3In(x) + C =32 2x - 0 6In(x) + C = 32 O C = In(x) + 3(3= ) O C = > + 3In(x) dy 2xy da 2/2 - O Homogeneous No answer text provided. No answer text provided. Not homogeneous

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