Given that y, (x) = e-2x is a solution of the differential equration y"- 4y 0. If %3D we use the reduction of order method, the second solution of the given equation is: O y_2 (x)=e^2x O y_2 (x)=(e^x)/4 O y_2 (x)=(e^2x)/4 O None of them

Q: At which iteration shows that the root of a nonlinear equation is Xr = 1.2021 when a = 2 and b = -1…

A: We need to find at which iteration shows that the root of a nonlinear equation is Xr = 1.2021 when a…

Q: Show that x+y+e^xy=0 is an implicit solution to the nonlinear equation (1+xe^xy)dy/dx+1+ye^xy=0

A: x+y+e^xy=0 differentiating with respect to x on both sides ddx(x+y+exy)=ddx(0)…

Q: (x^2)y'' - xy' + y=x*(lnx)^1/2 find the general solution of this diff eq

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Q: Find the general solution for x³y""-3x²y" + 6xy' − 6y = 2x_when_ x>0

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Q: y'+(4x^2+2)y=4e^(−x(x+2)),  t>0 Then the general solution to the non-homogeneous equation can be…

A: Introduction: The formula for the particular solution to the second-order differential equation by…

Q: Given y" + 2y' + y = 3t*e^(-t) when t= 0, x = 4 and x' = 2. Solve for its solution Y(s). a. Y(s) =…

A: Given  y"+2y'+y = 3te-t with y(0) = 4 y'(0) = 2

Q: Find the solution of: which satisfies (0) = 1 Solution is: x (t) = -1/3 (e^ (t))+4/3 (e^ (4t)) + 4…

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Q: x' y' 7x + 6y ||||

A: We have to find the value of x(t) and y(t).

Q: ind the general solution for  Z_yy +Z=e^(x+y)

A: zyy+z=ex+y

Q: Find the general solution

A: Given,       dydx=2-x+x3

Q: Find the solution of the differential equation that satisfies the given initial condition. (Write…

A: The given differential equation is; 5xcos(x) =[2y+e^(3y)]y', y(0)=0.

Q: To make the differential equation xdy + (x^2 - 2y)dx = 0 exact, what must be the integrating…

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Q: What must the constant A be for the differential equation (Ax^2y+2y^2)dx+ (x^3+4xy)dy = 0 to be…

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Q: 3.Given a nonlinear equation y = 3x^3-

A: Given,       y=3x3-5.12x2+3.4x-1.9

Q: Isn't this a Bernulli equation: y'+p(x)y=q(x)y^n   -->     y'=q(x)y^n - p(x)y y'-y/x = x^3 (y-x)^2…

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Q: Obtain the general solution of the differential equation (x2 + у?) dx + (x2- ху) dy 3D0 A (x + y) =…

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Q: Determine the solution of the IVP y’-2y = 2e^(2x) ; y (0) = 1 a. y = e^(2x)*(2x-1) b. y =…

A: Let's find.

Q: solve the following D.E dy 3x - Y = Ln X+l

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Q: The nonlinear part is 4x' and the linear part is 2x-2. g(x)-4x'-2x+2 h(x)=-2' +3x-4 K(x)=…

A: In g(x) = 4x3 - 2x + 2  The nonlinear part is 4x3 And the linear part is  - 2x+ 2. Similarly, h(x) =…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 6. A small metal bar, whose initial temperature was 20°C, is…

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A: GIVEN

Q: Find the general solution of the given DE 2xy^2 + 4 = 2(3-x^2y)y'

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