Match each vector field with its differential equation. ? v 1. X = x' = -1 v 2. -2 1 v 3. X = -1 -2 4. x' = B

Q: Suppose the temperature of a metal plate is given by f (x, y) = the temperature of the metal plate…

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Q: Differentiate. h(r)= 2-2r-3 9r-5 O A. h'(r) = OB. h'(r)= gr² +8r+37 (9r-5)² O D. h'(r) = 9r²-10r+37…

A: given function

Q: 1 E = 4. UA (10-3) 2(1+v) k UE

A: Just shift epsilon to right side and (1+v) to left side.

Q: 214 -3t ds Find dt

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Q: Aiz (1) i i v, ~ Vz =o iv, - t= 0 i U, =t -i?v, = -it

A: The first highlighted portion is -i2v1=-it. To make the coefficient of v1 equal to 1 in the previous…

Q: Consider this ordinary differential equation (ODE): dy da At the point (-0.5, 1.5), the direction…

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Q: Let y = V5- z. Find the differential dy whenz= 2 and dr = 0.1 %3D Find the differential dy whenz= 2…

A: y=5-x

Q: −q+p+q², ġ p = p - 2qp.

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Q: t=a v= t = 1 t = 2 t = 3 v = || V = m/s m/s m/s m/s

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Q: A particle moves according to the formula s = 6 to + 63 t-15 where distance s is measured in meters…

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Q: differential equation y = C, sin(5x + C2) as its general solution. a) Oy" – 25y = 0 b) Oy" + 25y = 0…

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Q: The pressure, volume and temperature of an ideal gas are related by the equation 8.31T P(T,V) = V…

A: Given, P(T,V)=(8.31T)/V At centre V=12litre and T=310k

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.

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.