Question: Show that the curve x(1) =e '(cos (21) - 2 sin (2t)) v(t) =e-'(2cos (2t) + sin (2t)) Is an integral curve, if you are

you are unable to solve for the derivatives you may freely use

these ones x'(1) = - 5e 'cos (21) y'(t) = - 5e

'sin (2t)F(x,y) -x - 2y, 2x- y) VER2We assume that a curve

Show that the curve x(1) =e '(cos (21) - 2 sin (2t)) v(t) =e-'(2cos (2t) + sin (2t)) Is an integral curve, if you are unable to solve for the derivatives you may freely use these ones x'(1) = - 5e 'cos (21) y'(t) = - 5e 'sin (2t)F(x,y) -x - 2y, 2x- y) VER2We assume that a curve r(t) = ((x(t), y(t)) is an integral curve for the vector field F if F(r(t)) = (x'(t), y'(t))

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