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Popular >

(dy)/(dx)=-5sin(4x)

Solution

\frac{d y}{d x} = - 5 sin (4 x)

Solution

y = \frac{5}{4} cos (4 x) + c_{1}

Solution steps

\frac{d y}{d x} = - 5 sin (4 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = - 5 sin (4 x)

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int - 5 sin (4 x) d x

\int - 5 sin (4 x) d x = \frac{5}{4} cos (4 x) + c_{1}

y = \frac{5}{4} cos (4 x) + c_{1}

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x^{2} y^{^{'}} = 2 y^{2} - x^{2}

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\int sinh^{2} (2 x) d x

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-5sin(4x) ?
The solution for (dy)/(dx)=-5sin(4x) is y= 5/4 cos(4x)+c_{1}