Question: Identify the following first-order differential equations, question 1 to 5 and then solve the differential equation using an appropriate method.QUESTION 1(1)dydx-(yx)=2(yx)(7)QUESTION 2(7)(2)2xdydx-2y=xtan(yx) using substitution y=vx.QUESTION

Identify the following first-order differential equations, question 1 to 5 and then solve the differential equation using an appropriate method.QUESTION 1(1)dydx-(yx)=2(yx)(7)QUESTION 2(7)(2)2xdydx-2y=xtan(yx) using substitution y=vx.QUESTION 3(3)2xdydx-2ytanx=y2tan2x(6)QUESTION 4(8)(4)xdydx+y=y2x3e2xQUESTION 5(8)(5)(y-x2)dydx-2xy=0.Identify the following first-order differential equations, question 1 to 5 and then solve the differential equation using an appropriate method.QUESTION 1(1)dydx-(2x)=2(yx)QUESTION 2(2)2xdydx-2y=xtan(yx) using substitution y=vx.(7)QUESTION 3(3)2xdydx-2ytanx=y2tan2xQUESTION 4(4)xdydx+y=y2x3e2xQUESTION 5(5)(y-x2)dydx-2xy=0.(8)QUESTION 6Solve the first order differential equation dydx=4z3y3y2-z4(a) as a homogeneous equation.(7)(b) as an exact equation.(7)TOTAL: [50]Solve the first order differential equation dydx=4x3y3y2-x4(a) as a homogeneous equation.(b) as an exact equation.

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