Consider the differential equation given by y - (1.2) (1,3) (-1,2) (-1,3) ✓(0,0) 4xy Match each point with its slope field. A-8/5 B. 12/5 C. 8/5 D.O E-12/5

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Q: dy The order of the following differential equation dx (x² + y²)xy Select one: a. 2 b. 1 C. 4 d. 0

A: We have given differential equation  dydx=x4-y4x2+y2xy As order of differential equation is the…

Q: 1J at. Solve the following differential equation:y-5y-0, y(0) =5. voo-3e-2

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Q: I. Solve the following linear differential equation. 1. dy/dx + y/x = x 2. dy/dx + (x+1)y =x

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Q: y = C, x? sin 4x + C2x² Cos 4x

A: The equation is y = C1x2sin4x+C2x2cos4x

Q: If z = -4x² + 2y² + 5y, find the differential dz. You should have variables dx, dy, y, and x in your…

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Q: b. (3xy3 + 4y)dx + (3x?y² + 2x)dy = 0; when x = 1, y = 1

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Q: a. 1. Write the differential equation of the following function. 3+ 4s²+2s+2 s¹+25² +1

A: Sol:- To write the differential equation of the function :- Let Fs=OutputInput…

Q: Consider the function P = –0.5x² + 20x – 18. Find the differential for this function.

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Q: d³y d¹y Find the order and degree of the differential equation:- + = dx³ dx¹ dy 4xy- dz

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Q: Let y = tan(4x + 3). Find the differential dy when x = 3 and da Find the differential dy when x = 3…

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Q: Identify the differential equation that produces the slope field below.

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Q: Which slope field is associated with the differential equation given below? dy dx = 1-y Choose the…

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Q: а. (у — cos?x)dxх + сosxdy %3D 0 b. ydx %3D (еУ + 2ху — 2х)dy

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Q: Let y = 5x?. Find the change in y, Ay when x = 2 and Ax 0.3 Find the differential dy when a = 2 and…

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