If y = f(x) is the solution of (72°y – 16x7 – 2y®)dx + (x7 +7y® – 12ry")dy = 0, f(0) = 0, then %3| Lütfen birini seçin: O a. f(2) = 4 O b. f(2) = 5 O c. All the previous answers are not correct. O d. f(2) = 3 O e. f(2) = 6

Q: In this problem we consider an equation in differential form M da + N dy = 0. The equation (20z*y'e-…

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Q: Solve for the value of C in the equation: OA. 1 O B.2 OC. 3 O D.-1 (2xy4e³ + 2xy³ + y)dx + (x²y4eY −…

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Q: Solve the given equation.. (3x2 + y)dx + (x²y – x)dy =0 Y +3x = C a. b. x²y? + x²y+ x4 = C C. d.…

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Q: Solve (2y+5)dx = 6dy O a. y 3ln(2x +5)+ c O b. x 12ln(2y +5) + c Ocx=3In(2y+5)+c O d. x == 21 In(2y…

A: The given differential equation is 2y+5 dx=6 dy. Solve the given differential equation as follows.…

Q: (2xy tx?+x*) dx - (Itx²) dy=D0

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Q: Q2.1 Solve the following ODE 2x²+3x sec² y dy dx Response: =

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Q: Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y…

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Q: Solve for y. – 6y + 5( – 3y+ 8) = – 5 – 2( – 2 – y) %3D

A: - 6y + 5 (-3y + 8) = -5 - 2(-2 - y) -6y - 15y + 40 = -5 + 4 + 2y -21y + 40 = -1 +2y

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. OB. ey eLny ALT OD.y

A: Given : yx+y+1dx+xx+3y+2dy=0 To Find : IF of Given equation

Q: (5) Given z=x³y-3y². If x changes from 2 to 1.9 while y changes from 1 to 1.02, find dz and Az. Is…

A: The objective of this question is to find the change in z (dz) and the approximate change in z (Δz)…

Q: Determine the Solution of the following D.E.: (2) xydx + 2(x2 +2y²)dy D0; when x=0, y= 1

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Q: x² + 4y² = C(x+y)

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Q: Which of the following functions are solutions of the DE y-4ry 0? (a) y 5z2 (b) y= e2 (c) y=3e1 (d)…

A: The given differential equation is Compare the above DE by general form of linear DE such that

Q: DE || AC. Solve for x and y

A: Given figure is as shown below : Given, DE||AC

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. O B. O U ev O D.y O E.…

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Q: 2 .2 %3D

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Q: d²x dt² dx dx 4+5x = 10; when t=0, x=0, x=0. dt dt +4.

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Q: d?y Which of the following is the general solution to + 3. dx dy 10y = 0? dx2 -2х -5х D- C,e-2 +…

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Q: (a) (xy² + nx²y)dx + (x³ + x²y)dy = 0,

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: S. S. (x + 2y)dydx = 10, Jo a

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Q: 2 ydx = (x² – 1Xdx – dy)

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Q: If f(x) = 4x²-3x+12 and g(x)=2x³+1, then the degree of the (fog)(x) is: a. 3 O b. 5 Oc. O d. 4 O e.…

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Q: Solve for the value of C in the equation: A. 1 B. 2 C. 3 D.-1 (2xy4e³ + 2xy³ + y)dx + (x²yªe¥ − x²y²…

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Q: 4. Find all values of constant c so that c2 S S (xy + 1) dy dx = 4 + 4c -10

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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.