What is the solution for (dy)/(dx)=x,y(11)=5 ?

The solution for (dy)/(dx)=x,y(11)=5 is y=(x^2)/2-111/2

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(dy)/(dx)=x,y(11)=5

\frac{d y}{d x} = x, y (11) = 5

y = \frac{x ^{2}}{2} - \frac{111}{2}

Solution steps

\frac{d y}{d x} = x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

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

then

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

y = \int x d x

\int x d x = \frac{x ^{2}}{2} + c_{1}

y = \frac{x ^{2}}{2} + c_{1}

Apply initial conditions:

y = \frac{x ^{2}}{2} - \frac{111}{2}

y = \frac{x ^{2}}{2} - \frac{111}{2}

y = 5 sec (x), at x = \frac{π}{3}

\frac{d}{d x} (- 5 e^{- 4 x})

\int_{0}^{2} (x + 1) d x

y = 1 + \frac{2}{x ^{4}}

\int y + y (3 + y^{2})^{\frac{1}{2}} d y

What is the solution for (dy)/(dx)=x,y(11)=5 ?
The solution for (dy)/(dx)=x,y(11)=5 is y=(x^2)/2-111/2