Q9) Use the Rung-Kutta method to solve the following initial value problem: dy_(y-x²) =xe dx where y(0)=0, for x=0 (0.2) 0.4

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Q: If ( 1 + x²)(1 + y²) - px² = 0, where p is a constant, show that xy ( 1 + x²)dy/dx = ( 1 + y²).

A: Given: To Find:

Q: Find dy/dx for each of the following. Do not simplify your answers. 3 (a) y = 3* – 3x7 + cot(3x³ +…

A: Part(a) Given

Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

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Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

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Q: 4x – 9y = 1 find the first derivative

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Q: dy x3 + 2xy. y 7. Find for the implicitly defined function dx

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Q: Solve (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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Q: dy dt 13.1 y – 13.94 y²; y(0) = 0.03

A: Given,dydt=13.1y-13.94y2113.1y-13.94y2dy=dt1y13.1-13.94ydy=dtintegrating both the…

Q: Solve the IVP. (35 53 X' = X with X(0) = - (4).

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Q: Solve the D.E (X+1) =x(y'い) dメ

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