y' = (1-x1)y , y(1) = 1, h = 0.1 1.3477 O 1.3823 O 1.3581 1.3233

Q: 2. Use Euler method to compute ys for the DE yy'=2x for y(1)=3

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Q: Consider the Riccatti equation Please answer all parts. v'=v2-(7/x)v+8/x2 a) use the substitution…

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Q: _y"+y' = 0

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Q: Using Euler's Method, Solve for K in Y(4) = K Given the following: Y' = 2x -2y +3 h = 0.2 Y(3)…

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Q: 04/ Solve the Bernoulli equa 3 y +y-x'y* = 0

A: Given equation y'+(3/x)y -x^2y^4   Given equation is of the form dy/dx+py=Q(X) We will evaluate as…

Q: (x)= e°2× (x-1) us

A: Here The second method gives the correct result for an initial guess of less than one.

Q: a) Solve y' = 3x² + y, y(0) = 4 by choosing step length 0.1 for y(0.2) by Euler's improved method

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Q: The green graph below shows the graph of the solution to 1 29 +by' + cy=0 y(0) = 0, y'(0) = 1 for…

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Q: Solve y"-(y-y, using fourth order Runge-Kutta method for a02 correct to four decimal places with the…

A: To solve the second order ordinary differential equation by fourth order Runge-Kutta method, convert…

Q: titution: 4 11 8 }]ÿ. y(0) = [¯²]. etermined coefficients: 12 -1 · [¹² −¹5]y+[e²].

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Q: Solve the problem p"+x=0, p(0) = 1, p'(3)=0 with two linear elements of lengths 1 and 2…

A: The problem seems to be a second order ordinary differential equation (ODE) with the form p'' + x =…

Q: The equation f(x)= x² -e* has a solution [-1, 1]. With p2 from the previous solution calculate p3…

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Q: Use the method of undetermined coefficients to find the solution to y''+y=4x+10sin(x) that is…

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Q: Solve: x'y'- 2xy = 3y¹, y(1) =

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Q: Solve using Euler's Method dy=sin(x + y)- e*,y (0)-4, h-0.1

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Q: (6xy + y² − ysin(xy))+(3x² + 2xy-xsin(xy))dy = 0

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Q: oulli’s equation, x' = a(t)x + f (t)x^n, n /= 0, 1, was proposed for solution by James Bernoulli in…

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Q: x’y" – 3xy' +3 y=3 ln x- 4 y(1)= 0 y'(1) = 1

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Q: Q4. Solve numerically by using Runge-Kutta method y' =√xy+1 with y(0) = 1 to find y(0.05 and h =…

A: 4. Given,                  y'=xy+1;    y(0)=1.  To find the value of y(0.05) and h=0.025.

Q: Find the form of yp to use in the method of undetermined coefficients y"-3y'-4y=x²e*+xe* a.…

A: Our objective is given below:

Q: x2y dx + (1 + x3) dy = 0 Find in Bernoulli and Exact method.

A: Given differential equation  x2y dx + (1+x3) dy =0

Q: a) y2 + (y-1)y' - y = 0,

A: According to guidelines we solve only one question. Thanku

Q: Suppose that f(x, y) = æ² – xy + y² – 4x + 4y with D = {(x, y) | 0 < y < æ < 4}. - 1. The critical…

A: Consider the given function. fx,y=x2-xy+y2-4x+4y And, D=x,y|0≤y≤x≤4 Find the derivative with respect…

Q: 6. Solve by Frobenius method (in power of a): 2x²y" + xy' + (x² - 1)y = 0.

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Q: Consider the Riccatti equation v'=v2-(7/x)v+8/x2 a) use the substitution v=-y'/y

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 6) Solve: x'(t) = 4 -2 2 -2 3 3 -1 -2 -1 x(t) 3

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: y' = (1-x²)y , y(1) = 1, h = 0.1 1.0921 1.0986 1.0974 O 1.0935

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Q: Using Frobenius' method, find solutions to xy'' + 2y' + xy = 0

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Q: 11) Solve the given IVP, ""+12y" +36y=0, v(0) 0, '(0)=1, "(0) = -7.

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Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

A: We have fx=4x3+3x2-8x-2 The initial interval is 1,2 The error tolerance is 1%=1100=0.01 So, we need…