Problem 4 Find the order and degree, if defined, of cach of the following differential equations: dy a. cos x=0 dx d’y b. xy dx dy dx dx c. y"+ y + d'y dy - 3x + 2y =8 dx d. dx - 2x 3sin x- sin y e. dx f. (y)-2(y)-5y-3

Q: Which of the following differential forms are exact? (y² – t²) dt + (2ty – y) dy O ye' dt – e' dy O…

A: To find  Which of the given differential equations are exact.

Q: dy (1): dx y = 5 cos 2u and u = x2 + n. if

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Q: FIRd the general solution to y'" +(1) y"-12 y-0. None y c, e+c, sin(2-)+c 6 Cy Cos(2 0) y-c, oc…

A: Consider differential equation: a0yn+a1yn-1+.......+an-1y'+any=0 Write auxiliary equation…

Q: 9 ²+2y=2 cos²/ 2 di with y(0) - 3 dy (0) = -1 2 dt

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Q: гуг 0 = fp ( ²4 2² - 62²) + xp (T-H10

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve each of the following equations. 1.y( x² – y + 1) dx + x( 3x – 4y + 3) dy =o 2.Siny (x + sin…

A: Consider  the equation

Q: Obtain the general solution to the equation dy dr 2+x COS x, y(0) = 2. 5.

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Q: 3y? dy dx cos(пх)" o Consider the differential equation Let y = f(x) be the particular solution to…

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: Find the differential of this equation ASAP please dx dt dx dt 2x + dy dt + 8y 1 2 sin 2t, dy 3x + 2…

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Q: dy dx cos(x + y) = 3x Find dy dx dy dx dy dx dy dx = = -3 csc (x + y) - 1 = -3 cos(x + y) - 1 = −3…

A: we need to find out the derivative.

Q: (5) Solve the IVP:dy - y = e* cos(2x), y(0) = 2 dx

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Q: 4. Shown at right is the slope field for which differential equation? dy A. dx dy dx dy dx D. dx B.…

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Q: Give nonlinear equation:

A: Given,             sinx=cotx and x0=1, and x1=0.5

Q: C Problem 6 Find a differential operator and a function t so that the differential equation yy' =…

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Q: cos(x + y), when x = 0,y = dx 2 = dy : %3D

A: To solve the differential equation we can use a substitution u=x+y and then we can use variable…

Q: 4) Find when y? – x² + cos(x + y) = 0

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Q: If Z= x Ln (xy) +y³ and y = cos(x²+1) find dZ ? dz dx

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Q: 5. (x + y)dy – (x – y)dx = 0. %3D

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Solve the DE: 2 dy 3 dx 3x² + y² xy

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Q: 5. ex+ydx = dy χ

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 4. x²y² = x² + y² 5. x cos y y sec x = 1

A: 4. The equation x²y² = x² + y² can be rearranged to form a quadratic equation in terms of x or y. We…

Q: Show that I(a7 t5) (2 -i) = 12z t5 %3D

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: 20. y' + 3y +2y = e' (t² + 1) sin(2t)+3e¯* cos(t) + 21. y" + 2y' + 5y = 3te cos(2t) - 2te cos(1) 22.…

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Q: 4. (a) Find the general solution of the following Bernoulli equations; x- 2y = xy i.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. dy dx (sin x) cos y (a) y(0) = 1 (c) y(3) = 3 (b) y(1) = 0 (d) y(0) = - 512

A: From the given differential equation we have to find the linear equation of x and y. We use the…

Q: Problems: 1.(x³ + xy² − y)dx + (y³ + x²y + x)dy = 0 2. (ex siny + ey)dx - (xe-y-e* cosy)dy = 0

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