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Exercise 178 Further problems on equations of the form dy dx=f(x). In Problems 1 to 5,...

Exercise 178 Further problems on equations of the form dy dx=f(x). In Problems 1 to 5, solve the differential equations.
1.dy/ dx = cos4x−2x

2. 2xdy/dx =3−x3   

  
3.dy/dx +x=3, given y=2 when x=1

4. 3d/ dθ +sin θ=0, given y=2/3when θ=π 3

5.1/ex +2=x−3dy/dxgiveny= y=1 when x=0.

6. The gradient of a curve is given by: dy dx + x2 2 =3x

engineering mathematics

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