Solve using indeterminate coefficients y '' + 9y = x ^ (2) e ^ (3x) + 6

Q: A non-exact equation can be converted to an exact equation by OA. Multiplying with the Integration…

A: Choose the correct option:

Q: Solve for the derivative of x² – y² = 9 using implicit differentiation %3D

A: Given :                x2 - y2 = 9To find :                 y'

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 2. y = 2 Arccos (1-x/2)+ Square root of…

A: Second order derivative.

Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

Q: give 3 examples of the reciprocal rule of integration formula

A: The reciprocal rule for the integration is: ∫f'(x)f(x)dx=ln |f(x)|+C

Q: 3x-4 1. y = Arctan

A:

Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: To apply the integration factor method, does the differential equation have to be linear?

A:

Q: Find the differential equation by rlimaniting the arbitary constants from

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Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

A:

Q: Find  y''  by implicit differentiation. 4x2 + y2 = 4

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

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Q: Find y" by implicit differentiation. 3x3 + 4y3 = 2

A:

Q: Find  y ″  by implicit differentiation. 2x3 − 5y3 = 5

A: We will differentiate w.r.t x twice using the product rule and the chain rule

Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

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Q: 3x2y +y2 2x3+ 3ху dy

A:

Q: 2 cosh(2x) – sinh(2x) = 2

A:

Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

Q: Find the 3rd derivative of y = xlnx. (SOLVE BY USING DIFFERENTIAL EQUATIONS)

A: Given : f(x) =y= x lnx To find : Third derivative of given function

Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

A:

Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: From the differential equation by elimaniting arbitary constant  y=ax3+bx2

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Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

A: The given question is related with parabola. We have to find the differential equation of the family…

Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

A:

Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

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Q: Find  y ″  by implicit differentiation. 4x3 − 5y3 = 8

A: First we find y' by differentiating  both sides of the given equation. Then find y"  by using the…

Q: How do you integrate 25e^-x?

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Q: Solve the differential equations using method of undetermined coefficient у"*у 3 х^2sin(2x)

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Q: Solve using the undermined coefficient of differential equation

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Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

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Q: Find y''by implicit differentiation. 2x3 + 5y3 = 2

A: We can find y" using implicit differentiation as below.

Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

A:

Q: Solve for the differential equations and get the general solution. Simplify your answer free from…

A: The given differential equation is dy=tanxtanydx

Q: Solve the differential equation by undetermined coefficients (annihilator approach). y(4) + y" = 3x2

A: Please see the below picture for detailed solution.

Q: Find the differential equations having as solution; all tangent lines of parabola y2 = 4x .

A: Here, we have to find differential equation of all tangent planes of parabola

Q: Find y double prime by implicit differentiation8x^2+y^2=4

A: We have given

Q: Solve the differential eguation 3-

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Q: Find the orthogonal trajectories of family of curves y = ax5 (SOLVE BY USING DIFFERENTIAL…

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Q: Find y'' by implicit differentiation 4x3+3y3=6

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Q: Find the fourth derivative of the given: (Show complete solution from first to  fourth derivative)…

A: The function is given by y = (2x+1)25

Q: From the differential equation by elimanating arbitary constants  y=ax3+bx2

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Q: equation

A:

Q: Determine which differential equation is linear:* (tan 2x)(")+(x-23)(»")' = In.x

A: A differential equation is linear only if it satisfies the conditions below. The degree of the…

Q: using partial differential equ

A: Charpit's auxiliary differential eqs are

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.