The DE: dy = (x²y = x²y³) dy is a separable differential equation. Select one: True O False The DE: ( − 8y² + 4xycos (y

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The DE: dy = (x²y = x²y³) dy is a separable differential equation. Select one: True O False The DE: ( − 8y² + 4xycos (y

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The DE: dy = (x²y = x²y³) dy is a separable differential equation. Select one: True O False
The DE: ( − 8y² + 4xycos (y²))dy = (8x³ - 2 sin (y²)) dx - is an exact differential equation. Select one: True False
The DE: 8 (3x² + ² sin xy) dx + N(x, y)dy = 0 is an exact differential equation if N(x, y) is equal to Select one: O None of these. ○ N(x, y) = 3x² + ○ N(x, y) = 6y + O N(x, y) = 3y² + O N(x, y) = y² sin xy cos xy ³ sin xy cos xy
The DE: (-81² 8y² + 4xy cos (y²))dy = (8x³ - 2 sin (y²)) dx is an exact differential equation. Select one: True False
The differential is equation y' – 10xe³ = 0 Select one: O None of the others O separable O linear O Bernoulli O exact
Question [5 points]: The DE: 3dy (6e*y - 9y)dx = 0 is linear and its standard form is dy dx Select one: True O False - (2ex - 3)y = 0.
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