(b) Even though x = 0 is an ordinary point of the differential equation, explain why it is not a good idea to try to find a solution of the IVP у" + ху' + у%3D0 of the form y = E=0 Cnx". Using power series, find a better way to solve the problem. У(1) %3D —6, у'(1) %3 3

Q: Find the general solution of the ordinary differential equation. y" +xy =x

A: Given ODE is  y''+xy=x.......(1)  Here x=0 is an ordinary point of the given differential equation…

Q: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

Q: Solve the given differential equation by undetermined coefficients. у" - у' + = 5 + eX/2 y(x):

A:

Q: (1 + х) у" + у3D0 + y =

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Q: How many parameters are there in the differential equation * у 3а сos bх + c sin bx+4 а. 2 b. 3 С. 4…

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Q: (a). 2t²u" + 3tu'- u = 0,t> 0

A: The given differential equation is,let us substitute t=ez so z=logt and hence

Q: x-2y+2 Q2:- Solve the ordinary differential equation y': Зх-бу+5

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Q: Solve this differential equation using power series: y''+y=kx^2 where k is a constant.

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Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: A discharged capacitor C = 2700F is connected in a series with the resistor R = 10. (a) Find the…

A: The differential equation that governs the voltage drop on the capacitor in the circuit is given by…

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: 2x³y' = y(y² + 3x?)

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Q: Solve the High order differential equation by using Variation of Parameters Method y(4) – 2y" = 4x

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Q: From the differential equation by eliminationg the arbitary constant A,B from y=Ae/x+Be¬-7x +Be-7x

A: To form the differential equation by eliminating the arbitrary constant

Q: Find two power series solutions of the given differential equation about the ordinary point x = 0.…

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Q: Solve the given differential equation by undetermined coefficients. у"+у'- 30y %3D2х y(x) =

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Q: Solve the differential equation for the motion of the spring 384x''+1152x'+864x=0   if x(0)=-2 and…

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Q: 2. y + xy = 6x/y %3D

A: Derivatives represent the change in variable with respect to change in another variable. When the…

Q: Solve the differential equation using series: (x2 - 1)y'' + xy' - y = 0

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Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

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Q: y"-7y'= (2x –1)sin 2x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: Solve the differential equation. (Assume the independent variable is x.) у" - у' — 20у 3о

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Q: 7. у"" + у" — 7у" — у' + бу %3D 0 - -

A: On solving this differential equation we will get

Q: (ry +y ) y' = y?. y' = エーリ+3 y' =

A:

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.