The solution of the given Differential equations is
\(\displaystyle{y}={2}{\tan{{\left({2}{x}+{c}\right)}}}-{4}{x}\), where c is a constant.

Question

asked 2021-05-17

Compute \(\triangle y\) and dy for the given values of x and \(dx=\triangle x\)

\(y=x^2-4x, x=3 , \triangle x =0,5\)

\(\triangle y=???\)

dy=?

\(y=x^2-4x, x=3 , \triangle x =0,5\)

\(\triangle y=???\)

dy=?

asked 2021-05-17

Find equations of both lines through the point (2, ?3) that are tangent to the parabola \(y = x^2 + x\).

\(y_1\)=(smaller slope quation)

\(y_2\)=(larger slope equation)

\(y_1\)=(smaller slope quation)

\(y_2\)=(larger slope equation)

asked 2021-05-30

Solve the differential equation by variation of parameters

\(y"+y=\sin x\)

\(y"+y=\sin x\)

asked 2021-05-03

Find the Exact length of the curve.

\(x=e^t+e^{-t} , y=5-2t\) between \(0 \leq t \leq 3\)

\(x=e^t+e^{-t} , y=5-2t\) between \(0 \leq t \leq 3\)