Fond Particular Solution of the Lifferential equation 13 Y = 6 (²53x - 8 1 Y"+ 4y¹ + Yo 85in3x y (0] =0, y'o] =0 усо) )

Q: What is the differential equation that is obtained by transforming the differential equation (image…

A: Equation contains u and x.

Q: y' = (y² - 1)(e-2) where, y(0) = 3 2 and y(0) = -4

A: Given: The  differential equation is y'=y2-1ey-2 and   y0=32 , y0=-4. Plot the graph of the solution…

Q: Find the solution to Integro-Differential Equation.

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Q: Transform the differential equation y" - 2y" +8y-y=t into a system of first order equations. 1₁ =…

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Q: Consider the differential equation: y'=t(y² + 1)

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Q: yy" = (y')" 2. Problem: Solution: y= keex

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Q: dy The solution of the differential equation =0is

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Q: 2- 2 +y = 0 when y (0) = 1 , y' (0) = -1 %3D

A: Follow the procedure given below.

Q: 2. ナ www

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Q: 1. Find at least six non-zero terms of the power series expansion about x, 0 for a general solution…

A: Given : Differential Equation x2-x+1y''-y'-y=0To find : atleast six non-zero terms of the power…

Q: c) y' = -y2e* d) y' = y2 - 4

A: Use the variable separable method to solve.

Q: FInd the differential equation of the family of circle with center at the origin

A: We need to differentiate the given curve equation as Number of arbitrary constant present in…

Q: The Integrating factor for the differential equation is

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Q: 8. ydx + (x² + y² – x)dy = 0

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Q: a²y"- (x-2)y'=0

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Q: al csc x y cotx

A: We have to find the intregating factor of given differential equation.

Q: 6. (3x²y+ 2xy + y³)dx + (x² + y²)dy = 0

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Q: EQUATION

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Q: a) Find Fourier Transform f (x) = |x| > B and Evaluate Sin[2B]Cos[2x] da -8-

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Q: x³y" + 3x?y" = 2x +1

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Q: show the complete solution using differential equation

A: As per the guidelines we can solve 1 part only

Q: From the differential equation dy = x2 dx, what is the equation of y in terms of x as the curve…

A: Given: dy=x2dx

Q: differential

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