For an exact equation, Show that this differential equation cos(x+ y)dx= (3y² +2y+ cos(x+ y))cdy = 0 is exact. •.. aN sin( x+ y) OM A %3D ƏM ON sin(x- y) В ƏM ON - sin(x- y) C

Q: 2x + x2 cos(x) + 1 -dx x2

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Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: Find the differential of each function.

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Q: Find the differential of the function. z = e-5x cos(9xt) dz = dx + dt Need Help? Watch It

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Q: (b) If z= 3x² + y² 4xy Hence, Show that find ôz dz dx dy Ox 3 3x a²z y a²z y ổr x ô and =0 8² z 2…

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Q: 4 cos x h(x) Vx+2

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Q: Calculate the volume of solid S limited by the paraboloid z = 1 - (x² + y²) and the plane z = 0, as…

A: Volume of any solid is given by ∫∫∫dzdxdy=∫∫∫dzrdrdθ which is bounded by the region.  The the…

Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

A: dxndx=nxn-1d(constant)dx=0

Q: 37/2 8 cos x dx T/2

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Q: fx = a(0-sin0) and y = a(1- cos 0), find d and d²y/dx².

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Q: sin(y)dx + cos(y)dy = 0 by exact

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Q: Dhcx)=cos (x+)

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Q: (cos y + y cos x) dx - (x siny - sinx) dy = 0

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Q: Is the equation separable, linear, bernoulli, or homogenous? x4 + 4xy2 2x3 + x²y +y³ а. dx b.…

A: Separable equation:   A first order differential equation y’ = f (x, y) is called a separable…

Q: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

Q: dy dx x(x- x') II

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Q: Find the root

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Q: y+y=sin(x), where y(x) = 1.

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Q: 8. Find the differential of each function: (a)y=tan(cos.x) : (b) y=- Answer D

A: 8) a) y= tan(cosx)

Q: Find y' for the function as shows below.   cos(xy)=x6-y

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Q: 2 sin(2x) - 3 cos(x) dx

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.