-x+2 dy The Differential Equation dx describes the shape of a plane curve C that will reflect all incoming light beams to the same point and could be a model for the mirror of a reflecting telescope, a satellite antenna or a solar collector. i. Verify that the DE is homogeneous. Show that the substitution y= x yields udu dx V1+u (1-1+u 11. Show that the given DE can also be solved by means of the substitution u = x? +y?.

Q: Q2: Find General Solution (YGS)to the equation (Y4-1) Y=COS(2x)

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Q: Let y = 5√√x. Find the change in y, Ay when x = 1 and Ax = 0.3 Find the differential dy when x = 1…

A: It is provided that y=5x. We need to determine ∆y for x=4, ∆x=0.3 and we need to determine dy for…

Q: Find the differential of the given functions: 1. y = 3x4 - 5x³ + x - 4 2. u = /2y – y3

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Q: Let y = 3x². Find the change in y, i.e., Ay, when x = 4 and Ax = 0.2 Find the differential dy when x…

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Q: A- Solve the differential equation: x² -x+ 5y = 0 dx2 dx dz and dx dy given B- Find dz z = xy² +…

A: Q5: A)   given differential equation is…

Q: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: v = ) V In(2x-3y

A:

Q: Let y = 5x2. Find the change in y, Ay when x = 1 and Az = 0.3 Find the differential dy when x = 1…

A:

Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: Let y 3x². = Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1…

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Q: (2^)u sec (VTt) 2V7t (a) y= tan dy: dt 5- v2 (b) y = 5 + v2 dy = -5- 2iv 5 -V-5-2iv5 %3D Need Help?…

A: Both the parts are given below.

Q: Find the differential dy of the function y = 4x²-x+ 3 Select one: O a. (8x-1)dx O b. (x²-x² + 3x) dx…

A: Solve for the differentiation

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.