Rewrite the following differential equation using differential operators. 3. х? у" + 3х у' + 5у 5 x2 In x d'y 4. + 2 d5y dty + 3 7dy + 8y 3 2 cOS X — х dx dx7 + 4 + 5 + 6 dx6 dx5 dx4 dx3 dx2 5. x3 y"" + 3x² y" + x y' – y = x²

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: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

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Q: Solve  y" - 4y' + 3y = 0

A: We have to solve ,  y" - 4y' + 3y = 0  (D2 - 4D + 3)y = 0 The auxiliary equation is  m2 - 4m + 3 = 0

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 7.- Find the directional derivative of = x²-y-z + 4x.z² at the…

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Q: (2х + 1)у? y' = y2 - 1

A: It's not clear what needs to be done in this question. To me, it appears that you want this…

Q: xy' = x³ + 2y.

A: Given: xy'=x3+2y ⇒y' -2yx=x2 Solution of linear differential equation of the form y'+p(x)y=Q(x) is…

Q: Find y'. y = (x² - 2x+2)(2x³ - x²+4) OA. 10x4 - 20x³ + 18x² + 4x-8 OB. 10x4 - 16x³ + 18x² + 4x-8 O…

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

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Q: Eliminate the arbitrary constants of the equation y = Cje 2x + A y" - 2y' - 3y = 0 B y" - 4y' - 2y =…

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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: X 2 11 у"-3 ху +3y= С Ex

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Q: 2x5y ' = y(3x4+y2)

A: For the solution follow the next step.

Q: y=x2+4x+3 /  x1/2        y'=?

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Q: Differentiate. Y(u) = (u-2 + u-3)(u5 - 6u²) Y'(u) = %3D

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Q: y' = 2x + 2C₁e2x + 3C₂e³x

A: Formation of Differential Equation: When we seek solution to a differential equation, the general…

Q: (4xy+5y)dx+(4x² +15xy-12y)dy=0. Use two methods.

A: Note: according to our guidelines we can answer only first question because there are multiple…

Q: dy _ xy+2y- x- 2 Solve dx xy – 3y+x – 3

A: I am attaching image so that you understand each and every step.

Q: y" - 3y' + 2y = 5 ex

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Differentiate. y' = y = t² + 3 t4 - 2t² + 5 X

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Q: Find y' and y" for x² + 2xy − 3y² = 41. Simplify. -2x - 2y 2x - 6y y" = help (formulas) y' help…

A: Given query is to find the second derivative of the expression

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: Is the equation y’=y/x autonomous? True or false?

A: Given:The given equation is .To Find:We have to determine whether the given equation is autonomous…

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

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Q: can you explain if this is true or false if y=x2+y2, then y'= 2x+2y

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Q: (х + 2у)dx - Зydy %3D0 o x* - 6x²y? + 8xy – 3y* = c o 3x* - 8x*y? + 6xy - y* = c o x* + 3x²y² – 4xy³…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: V24x'y³ • J50x² y° V40m²n • V50m n V28.x*y" 7xy 4 V42 75.xy* V3x 5. 3. 4.

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Q: x2 – y? + xy = x²y Find dyldx using implicit differentiation.* 2ху-2х-у x-2y-x2 2ху-у x-2y+x² >>…

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Q: dy 1+y2 x2 3. dx +y²

A: Given: dydx=x21+y2 For finding solution of given differential equation, we use variable separable…

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: Determine the equation whose y'= Y/3x. 3x2 = y3 A 1 у? y= 3 x2 © x² = y3 1

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