Solve using Euler's and 4th Order Runge - Kutta Method. d²y dy 1. + 0.6 0.6 + 8y = 0 dx² dx where y(0) = 4 and y'(0) = 0. Solve from y(0.2) if h = 0.2.

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: 5. Solve (y² + 3xy³) dx + (1 - xy)dy = 0.

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Q: Solve for DE (x + 2y - 3)dx - (2x + 4y - 9) dy = 0

A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

Q: 29. Solve (x3 + y³)dy+ x²y dx = 0. %3|

A: Given problem:- Solve (x3+y3) dy +x2 y dx=0

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: 4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

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Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: If x2+y2-2axy=1  then find (dy/dx)

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Q: Solve: y (cosx)= (9+ y²)

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Q: Solve dy/dx =(4x+y+1)2

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Q: Solve dy/dx + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard’s…

A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: 24. Evalute dx r +1

A: Given: ∫0∞x12x3+1dx

Q: dy dx 3x² + 4x + 2 2(x - 1) y(0) = -1. . Check if it has a unique solution in some interval about x…

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Q: : Solve (3.xy² – y³) dx- (2x²y-xy²) dy = 0

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Q: (x+1)dx+(3x+4)dy=0.(Solve the DE

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