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Popular >

y^'=sin(5x)

Solution

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

Solution

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

Solution steps

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

If

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

then

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

y = \int sin (5 x) d x

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

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

Popular Examples

h^{^{'}} = - h^{\frac{1}{3}}

(dy)/(dt)+e^ty=23e^t

\frac{d y}{d t} + e^{t} y = 23 e^{t}

integral of (ln(x^{25}))/x

\int \frac{ln ( x ^{25} )}{x} d x

(\partial)/(\partial y)(x^5+2^y+x^y)

\frac{\partial}{\partial y} (x^{5} + 2^{y} + x^{y})

(dy)/(dx)=2x(1+y^2)

\frac{d y}{d x} = 2 x (1 + y^{2})

Frequently Asked Questions (FAQ)

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