Which of the following is the differential equation corresponding to the Iny = C,x² + C2 family of curves? а. у"х — 2ху' — 0 b. y"у — х %3D 0 c. y"xy – x(v')² – yy' = 0 d. (y")² + 2xy' – y = 0 е. у"у — 2х %3D0

Q: Find y'. y = (4x° + 9) (2x7 - 4) OA. O A. 80x° + 126x° – 48x O B. 16x° + 126x° – 48x? O C. 16x° +…

A: y = 4x3 + 92x7- 4y' = ?

Q: What is the solution of the differential equation by da = a(2a' + y)dy ? a. 1. = .3 O b. 1 1 2 O . 1…

A:

Q: 2. y' = 4x(2y3 -y)

A: Given differential equation, y'=4x(2y-3-y)..........(i)⇒y'+4xy=8xy-3⇒y3y'+4xy4=8x...........(ii)

Q: CALCULATE USING A HOMOGENOUS EQUATION. GIVE THE GENERAL AND PARTICULAR SOLUTION. SOLVE NUMBER 3 THE…

A:

Q: 2 The derivative of y = 3x? 3 + 3x is 2x 3 A. y =** 2 2 3 x° + x´ +3 3 4 4 В. у B. y' = +3 2x2 + 3x…

A: Derivative.

Q: 5. Obtain the differential equation of the family of curves, parabolas with vertex and focus on the…

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Q: Find y'. y = V In(7x + 5) y' =

A: Given the function y=ln(7x+5)         ........(1)

Q: 2y" - Зу' + 4y 0

A: Given

Q: Find y' for y = 9x-6 + 7x¯1. y' =O

A: Given: y=9x-6+7x-1

Q: х3—125 dy 5. у %3 х2+5х+25' dx х-1 + x+1 dy 6. у %3 б. dx

A:

Q: Determine whether the following equation is a solution to the corresponding differential equation.…

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Q: Solve the differential equation by eliminating the arbitrary constants. Choose the right answer from…

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Q: Identify the differential equation solved by y = e** a) Oy" – 9y + 20y = 0 b) Oy" + 9y' – 20y = 0 с)…

A: The solution is given as

Q: olve for y' 1. xy'-y=1-y'

A: Given xy'-y=1-y'Now lets take y to RHS and y' to LHS (Left Hand side)⇒xy'+y'=y+1Lets take y' common…

Q: Obtain the differential equation of the given family of curve: y² : C-x a. 2x³y' – 3x?y – y³ = 0 b.…

A: Given curve : y2=x3c-x ⇒c-x=x3y2

Q: 1. у" - 2у" —у'+ 2у%3D0

A: Dut to guidelines we can solve one question at a time .if you want others solution too.you can just…

Q: Find the derivatives for the following functions. 1 2x2 1.

A:

Q: Which is the differential equation of the family of parabolas with axis along the y-axis and with a…

A: To find out the differential equation for the given statement.

Q: Solve: y''' + 6y'" – y' - 30y = 0 y(0) = - 2, y'(0) - 15, y''(0) = 45 y(t) =

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Q: differential equation y = C, sin(5x + C2) as its general solution. a) Oy" – 25y = 0 b) Oy" + 25y = 0…

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Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: O https docs.google.. 48 Evaluate D(3 sin x+4cos 4x). A. 3 cosx-4 sin 4x B. 3cosx-16 sin 4x C. -3…

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Q: 7. у"" + у" — 7у" — у' + бу %3D 0 - -

A: On solving this differential equation we will get

Q: Solve for the differential equation of the given function y = C1x + Cze* by applying elimination of…

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Q: Identify if the differential is homogenous or heterogeneous. State also whether the equation is…

A: As per guideline we have to solve three subparts

Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

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Q: (x3-x)² .3. 2 5. у 3 х+1

A: We’ll answer the 5th question since we answer only one question at a time. Please submit a new…

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.