What is the solution for D(f(x))=4sec(4x)tan(4)(x) ?

The solution for D(f(x))=4sec(4x)tan(4)(x) is f(x)=c_{1}+integral of 4tan(4)xsec(4x)

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D(f(x))=4sec(4x)tan(4)(x)

D (f (x)) = 4 sec (4 x) tan (4) (x)

f (x) = c_{1} + \int 4 tan (4) x sec (4 x) d x

Solution steps

D f (x) = 4 sec (4 x) tan (4) x

Solve linear ODE:

f (x) = c_{1} + \int 4 tan (4) x sec (4 x) d x

f (x) = c_{1} + \int 4 tan (4) x sec (4 x) d x

2 y^{^{''}} + 9 y^{^{'}} + 9 y = 2 x

y^{^{''}} - 8 y + 16 y = t^{- 3} e^{4 t}

x^{^{''}} + 240 x^{^{'}} - 9.8 = 0

y^{^{''}} - 6 y^{^{'}} + 9 y = t^{2} e^{3} t, y (0) = 2, y^{^{'}} (0) = 17

y^{^{''}} + 6 y^{^{'}} + 13 y = e^{- 3 x} (cos (2 x))

What is the solution for D(f(x))=4sec(4x)tan(4)(x) ?
The solution for D(f(x))=4sec(4x)tan(4)(x) is f(x)=c_{1}+integral of 4tan(4)xsec(4x)