(2) Consider the differential equation = x+sin y. dy dx A (a) A solution curve passes through the point 2 6 (b) Argue that every solution curve is increasing for x>1. What is its slope at this point?

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A: This question can be solved using the concept of differentiation.

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A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

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Q: 3. Solve the Differential Equation: (x² + y² + 3)dx - 2xydy = 0

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Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: Euler's diFFQ 3. Eqc) ((x) -24(x)=x(y しx1) ucx1-2uしx1 = x 1u(x) )

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Q: O Solve the differential equation by method of undermined coefficients d'y d'y 6dy =2e* dx' dx? dx

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A: The differential equation isFormulas used,

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Q: Solve the exact differential equation (x* + y)dx +(3xy +1)dy = 0

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Q: Solve the differential equation by variation of parameters. y"+ y = sec(0) tan(0)

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Q: what is the solution to the differential equation 2\sqrt(xy)(dy)/(dx)= 1 at y(4)=1

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Q: 1. Use the basic differential properties shown in section 3-5 to find each indicated derivative. (A)…

A: According to our guidelines, we can answer only three subparts of a question. Other parts can be…

Q: ou are given the following differential equation:  (1/x4)(dy/dx) + (1/x2)y = x5, x > 0.  What…

A: Given differential equation A differential equation of the form is a linear differential equation…

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A: The solutions of the given partial differential Equation is in below

Q: Solve the exact differential equation (x* + y)dx +(3xy +1)dy = 0

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Q: Q2: Solve the differential equations: dy y %3D = tan y 1- dx

A: As it is a multiple type question , so I am just solving the first one 1) The differential equation…

Q: Find the ordinary differential equation of a circle which passes through the points (0,0) and (2,0).

A: We will find out the required differential equation for given circle.

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A: Differentiation of a real-valued function gives the idea at which rate the function is changing with…

Q: — бух?)dх — (у-

A: use exact method to solve the differential equation(sinx-6yx2)dx-(y+2x3)dy=0