In Exercise, (a) use a graphing utility to graph a slope field for the differential equation, (b) use integration and the given point to find the particular solution of the differential equation, and (c) graph the particular solution and the slope field in the same viewing window. dy/dx = 2√x, (4, 12)

Q: 7. y - y = 16

A: The objective is to find the general solution .

Q: T-200N =20kg (a) – eq.1 2T- 228N= 15kg (a) -eq. 2 SOLVE FOR T and a.

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Q: exi solve the Disserentail equatione using homogenous method (x₁² + y) dx-xdy -o

A: given differential equation

Q: x -Jx-15 = 3 Salvethe equation

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Q: SOLVE FOR CL is constant : A² jª (a²-2₁²x² + x²) dx = 1

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Q: Solve for Z. X= (Y-Z) 3

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Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: 2- Solve (4x + 2y + 3)dx - (6x + 3y – 2)dy = 0.

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Q: The equation of motion of a particle is - 213 5,2 344 4 where s is measured in centimeters and t in…

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Q: Dsinx-sin3x [3] sin³x = find D and E. %D E

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Q: Find the differential of the function. u = 2x + 7 du = %3!

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Q: E valvate cox³ (x²+3)dx 2.

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Q: Solve (mz-ny)p+(nx-lz)q=ly-mx

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Q: Determine the constant A such that the equation (x2 + 3xy) dx + (Ax² + 4y) dy = 0 is exact and solve…

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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.