Find the order and degree of the differential equation: (d^(3)y)/(dx^(3))+sqrt{4}((d^(4)y)/(dx^(4)))=2xy(dy)/(dx). Form a differential equation by eliminating the arbitrary constant a and b from the equation y=ax^(2)-6bx. Find the general solution of the differential equation by using variable separable method: (dy)/(dx)=(xy+4x-y-4)/(xy-2x+4y-8). Solve by using Homogeneous differential equation method: 4(dy)/(dx)=(4y)/(x)+tan((y)/(x)) Find the general solution of the non-homogeneous differential equation: (dy)/(dx)=(x+y+4)/(2x+2y+6).
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The order of a differential equation is the highest order derivative present in the equation. In this case, the highest order derivative is the fourth derivative, so the order is 4. The degree of a differential equation is determined by the highest power of the Show more…
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