s/d/e/1FAlpQLSdsLWRmW1LAFItfbiP1MXCz-HRfySKdOpmuYq9agan-s2KYrw/for If we use the method of variation of parameters, the particular s of the following differential equation y" = 5x is: Yp(x) = x+ Yp (x) = ? 24 %3D 2/3

Q: A bacteria colony begins with a population of 120 and quadruples in size every 1.5 days.   If the…

A: Given initial population = 120  So, for t=0, P=120  Using that we get: Quadruples in size every 1.5…

Q: The velocity of a particle on the x-axis is given by the differential equation dx d=³√t, The…

A:

Q: What is the length of EF? y 4 8 units 10- 7 units 4 2 units -10 -8 -6 4 10x -2- 6 units -4- -6 -8

A: solution of the given problem is below ...

Q: certain drug is administered intravenously to a patient at the continuous rate of 10 milligrams per…

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: dy-(2y xe+2x²yex) dx (6 y3x -2x² e%) 1 the generl solution of the differential tion.

A:

Q: The differential equation ty' = cos² (y) is . ...linear, separable, and autonomous. O.nonlinear,…

A:

Q: An infectious disease is spreading at rate proportional to the number of people with the disease, or…

A: Given C= initial value= 118  For t=8, P=358 We have to find k

Q: The amount y of the drug Warfarin in a patient’s body after t hours satisfies the differential…

A: We have to find the time and the rate of dissipation of the drug increase or decrease.

Q: (a) Write out the regression model if 2.9705 -4.0042E-2 -4.1679E-2 (X'X) =-0.04004 6.0774E-4…

A: Reviewing information, given computer output

Q: A population N(t) is controlled by the ordinary differential equation (ODE) dN dt with values A =2,…

A:

Q: Euler's diFFQ 3. Eqc) ((x) -24(x)=x(y しx1) ucx1-2uしx1 = x 1u(x) )

A:

Q: ccording to a recent data analysis, the amount A(t) of atmospheric pollutants in a certain city is…

A:

Q: Suppose you have just poured a cup of freshly brewed coffee with temperature 95°C in a room where…

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Q: A polluted pool has an initial concentration of bacteria of 10* part/m³, while the acceptable level…

A: Given: The differential equation that governs the concentration C of the pollutant as a function of…

Q: The proportion of people in a community infected with a virus that stays active for two weeks is x…

A: The complete solutions are given below

Q: y' = 32 + y = 4.x – 4 It is known that the differential equation has a Y1 = a.x +b special solution…

A: Given that : y' =3yx+y2xRewriting the equation in the form of first seperable ODE,y' =3yx+y2x1yy+3y'…

Q: A given field mouse population satisfies the differential equation dp dt = 0.2p - 380. where p is…

A: The given differential equation is       = 0.2p - 380  =>  = dt Integrating both sides, we get…

Q: dx(0) = 9. Solve the following differential equation with x(0) = 0 and dt 9x dr? ..... X(t) =…

A:

Q: 1. A population grows continuously at the rate of 8% per year. How long does it take for the…

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Q: Q3. Suppose 10 grams of Pu-239 were released in the Chernobyl nuclear accident. How long will it…

A: The half-life of Pu-239 is 24360 years. We have to find the time when y =1.

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.