-4 x' 1 Solve x(0) = 2

Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: ५ = (+गुंग्ट

A: Given- dydx=1+y2ex To Find- The solution of the above differential equation.

Q: 35. (2v3 3)dx + 3xv²dv = 0 – x

A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: Use the procedures developed in this chapter to find the general solution of the differential…

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Q: Find the smallest positive root of the equation x-x-10 = 0 using Newton Raphson method correct to…

A: The equation is x4-x-10=0. That is, fx=x4-x-10. Find the value of f1 and f2.…

Q: Define in your own words   Differential equation

A: Differential Equation: Any equation which contains derivatives is called the differential equation.…

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: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is…

Q: 3x2y +y2 2x3+ 3ху dy

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Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

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Q: (4x'у — 15х? — у )ӑx +x* +3у? - х)dy-0

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Q: 10. Solve the differential equation by variation of parameters y" + 9y = 9 sec²(3x)

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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 the differential equation 2xyy' = 1 + y". If y = 3 when x = 2, determine y when x = 1.

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Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: 13.ydx + (3x —ху+ 2)dy — 0

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Q: Solve the differential equation by variation of parameters. y" - y = cosh(x) y(x) =

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Q: ① Solveing dy - - x dx = 。 ㅎ

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Q: Find the general solution of the differential equation y′ = √(tan x) sec4 x

A: The function is y'=tan xsec4x. To find the general solution, integrate both sides of the equation.…

Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: Find y2 for differential equation if yI is given: ху" — 20у'%3D 0 Y1 = 15x13 -

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Q: 3 y 1-x y'- 1- X y= e-e

A: Here the given differential equation is y''+1-xxy'-1x2y=ex-e-x This is a linear second order…

Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

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

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Q: Solve the differential equation using series: (x + 1)y'' - (2 - x)y' + y = 0.  where y(0) = 2 and…

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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: EQUATION

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Q: y² = 14eax-

A: Given y2=14eax

Q: By first finding an integrating factor, solve this differential equation. Give your answer in the…

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Q: find the differential equation of the family of logarithmic curves whose equation is Cy = ln(Cx).

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Q: V34

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Q: Find the differential equation of a family of parabolas with axis parallel to the x-axis.

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

Q: Solve for Higher Differential Equation using Variation of Parameters et x" – 4x' + 3x 1+et

A: see below the answer  as per bertleby I have to solve first question only, please resubmit for other…

Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: Solve the differential equation tan x- dy ey-cotx dx

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Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: 2) Obtain the differential equation of parabolas with vitex and focus on the x-axis

A: To find: the differential equation of parabolas on the x- axis.

Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

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

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Q: sin 0 · dr/d0 = -1– 2r cos 20 -1 - 2r cos 20

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Q: Solve the differential equation y'=secx-ytanx

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Q: Find the seperable differential equation

A: A differential equation dydx=f(x,y) is said to be a separable equation if the given function fx,y…

Q: What is the degree of the differential equation:

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Q: ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

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Q: Find the differential equation of the family of circles with fixed radius and tangent to the x axis.

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Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. 1. Parabolas with vertex and…

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Q: find the differential equation of a family of parabolas with an axis parallel to the x-axis

A: We have to choose the correct answer from the given option according to the given condition

Q: A body at a temperature of 50° F is placed outdoors where the temperature is 100° F. If after 5…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: