Use the "mixed partials" check to see if the following differential equation is exact. (4x³ + y) dx + (x — 2y) dy = 0. This equation has the form M(x, y) dx + N(x, y) dy = 0. Find: әм მყ -(x, y) = help (formulas) ON -(x, y) = help (formulas) ax If the equation is exact, find a function F(x, y) whose differential, dF(x, y), is the left hand side of the differential equation. That is, the level curves F(x, y) = C are solutions to the differential equation. If the equation is not exact, enter "not exact". F(x, y) = help (formulas) Book: Section 1.8 of Notes on Diffy Qs

Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: Solve y" + (y')² = 0.

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Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

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Q: - Solve the differential equation: y" + y = secxtanx

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Q: Find the differential of each function. (a) y = 2 + 55 dy (5s + 2)² (b) y = eu cos(u) 1. dy =…

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Q: A tank contains 13 gallons of water to start, 9.5 gallons of water flow into the tank while 6…

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Q: dy/dx=(y+7)(y-7), where y(0)=10. Solve the differential equation.

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Q: Find all solutions of the equation.

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Q: Z = 2xy  what will be the partial differential coefficient

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Q: Find the differential of the function. P = 99 - 293/2 dp = X

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