Question

(1 point) In this problem we consider an equation in differential form Mdx+Ndy=0Mdx+Ndy=0.The equation (4e−2y−(20x4y5e−x+2e−xsin(x)))dx+(−(20x5y4e−x+8e−2y))dy=0(4e−2y−(20x4y5e−x+2e−xsin(x)))dx+(−(20x5y4e−x+8e−2y))dy=0 in...

(1 point)

In this problem we consider an equation in differential form Mdx+Ndy=0Mdx+Ndy=0.The equation

(4e−2y−(20x4y5e−x+2e−xsin(x)))dx+(−(20x5y4e−x+8e−2y))dy=0(4e−2y−(20x4y5e−x+2e−xsin(x)))dx+(−(20x5y4e−x+8e−2y))dy=0

in differential form M˜dx+N˜dy=0M~dx+N~dy=0 is not exact. Indeed, we have

M˜y−N˜x=

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