Using the method of variation of parameters, the form of a particular solution Yp of (D²+25)y=4x2-3e5x is A Vp=Ae5x +Be-5x B Yp=A+BX+Cx² + Exe5x Yp=A+BX+Cx² + Ee5x Yp=Acos5x+Bsin5x D
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A: Topic:- application of derivatives
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A: answer is in next step . please give a like !!!
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A: Topic:- application of integration
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A: To find the volume of the solid.
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A: Given that,
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A: Topic :- application of integration
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A: Topic:- application of integration
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Q: Evaluate
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A:
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A:
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A:
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A: The region is bounded by fx=ex, gx=e-x and x=3
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A:
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A: In this question, we want to know the limits of the Integral as a horizontal element.
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A: B option is correct.
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A: To solve the improper integration.
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A: On solving this we will get
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- Use elimination method to find general solution y(t)= Also, find x(t)=Solve using Gauss Jordan Elimination. Please show your solution on a paper. 3x+ 2y + z = 2 4x +2y +2z = 8 x-y+z = 4The presence of nonlinear terms prevents us from usingthe technique of this section. In special cases, a changeof variable will transform the nonlinear equation into onethat is linear. The equation known as Bernoulli’s equation,x' = a(t)x + f (t)x^n, n /= 0, 1,was proposed for solution by James Bernoulli in December 1695. In 1696, Leibniz pointed out that the equationcan be reduced to a linear equation by taking x 1−n as thedependent variable. Show that the change of variable,z = x^1−n, will transform the nonlinear Bernoulli equationinto the linear equationz' = (1 − n)a(t)z+(1−n)f(t)
- Use variation of parameters to find the general solution y and the particular solution yp.Find the General solution using variety of parameters. y′′′=12Using bisection and false-position method. Compute the solution of the following equations. A. y=0.5x3 - 1.20x2 +5.5x -3, using xl = 0 and xu = 2, at absolute relative error of 2% B. y = 0.25e2x - 4.5cosx, using xl = 0 and xu = 1.5, at absolute relative error of 1%
- I) Solve using method of separation of variables the equation. 2x(δz/δx) - 3y(δz/δy) = 0 II) Classify the PDE (1 + x)²Uxx - 4xUxy + Uyy = x.Solve using Gaussian method 3x-2y+2z-w=2 4x+y+z+6w=8 -3x+2y-2z+w=5 5x+3z-2w=1use the method of elimination to find the general solution for x(t) then y(t). Need only handwritten solution only (not typed one).