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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