Given that y,= e is a solution to the second order ODE y"-y' -4r'y=0, then the %3D second solution is given by Select one O y= O=e STTLE

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A: Answer is option (d) homogeneous  Just make it in the form of ax^2+bx+c =0  By assuming t= dy/dx…

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A: Euler's method

Q: Apply Euler's method twice to approximate the solution to the initial value problem on the interval…

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A: dydx= f(x , y)dydx=1x2(y+3)The Euler method is given by : yn+1=yn+hf(xn,yn)Here f(x,y) =…

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A: The solution is given as

Q: 3. Find the solution of the heat equation = 0 if the boundary conditions are = 0 %3D [7/2 and the…

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Q: 1) Using Modified Euler's method, solve y'= xy2 + y given yo) = 1 if h= 0.1 to obtain y(0.1), y(0.2)…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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Q: y" + 2y' + y = 0; yı = xe

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Q: Consider the equation ¨x = ax. If a = 0, than the solution of this equation is x(t) = C + Dt where C…

A: Consider the equation x''=ax. The solution of this equation is x=C+Dt+ax22

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A: We have to find

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Q: Apply Euler's method twice to approximate the solution to the initial value problem on the interval…

A: Given y1 = -y  where y(x) = 11 e-x      ⇒dydx=-11 e-x  and also given y(0) =11here F(x,y) = -11 e-x…

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Q: (a) The reaction to form an iodine molecule is a second-order kinetics rate of loss of iodine atoms…

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Q: 1. e (3xy-x)dx+e* dy = 0; when x = 0, y = -1 4 Ans. y =-- 1 3

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A: The interval of definition is, [ - 3/2, 1/2 ] The detailed solution is as follows below:

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Q: y"+1oy+3y=x°+ 6. 4

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Q: The indicated Turi Is a solution of th1e given d merentiai equation. Ose iula (5) Tn Section 4.2…

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A: y'=y21+2x,y-1=1 and dx=0.5. Use Euler’s method to calculate the first three approximations to the…

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A: Given that, y'=y-y2, y0=0.2, h=0.1

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A: Given differential equation, y'=y-x2,y0=0, h=0.1 To find the solution using Modified Euler's method.

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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.