Use Euler's method to numerically integrate dy -2x3 + 12x2 – 20x + 8.5 %3D dx from x = 0 to x = 0.5 with a step size of 0.5. The initial condition at x = 0 is y = 1.

Q: QUESTION 8 Differentiate. y = 6x-4 dy dx 4x (6x - 4)2 dy dx 4 бх - 4 dy O dx 4 (6x - 4)2 dy 12x-4…

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Q: Obtain the general solution to the equation (dy/dx)=(y/x)+5x+7

A: Given thatCompare to

Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

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Q: 2 y = √√√x² + 1

A:

Q: B) find dy/dx if y= x(x-2) x²+1

A: Given Equation in 2 variablesTo find out Slope

Q: If y = arcsin(- 5x + 1), dy dr

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Q: (ii) y = e2x cos(1+2x²) (1+2x²)

A: y=e2xcos1+2x21+2x2

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.