4. Solve Y = 2x+2xy² dx using variable separable. y+2x?y

Q: y' + y = e», y(0) = 1.

A: Consider the first order differential equation            dydx +P(x)y= Q(x)…

Q: Using substitution show y = 1+ Ce-t² is a solution to dy + 2ty = 2t dt

A:

Q: Solve using implicit differentation.    x ey = 3x-3y

A: Given;   x ey = 3x-3y

Q: A snowplow has a maximum speed of 45 mph on a dry highway. It's maximum speed decreases by 0.9 mph…

A: The above model can be written in a linear equation of x and y. By substituting y=0, it can be…

Q: ZA = 5x + 20 ZB = 9x = 92 A Solve for r and then find the measure of LA: LA =

A:

Q: dyy 3D5(x-8)y´ X-8 dx

A:

Q: Solve me initial No need to Jimphiry. by value the separaion of variables a.

A: To solve the following initial value problems by the separation of variables.a y'=1+y2, y0=1b…

Q: 7. - equations. solve the given equations using separable diff 1-4v² dv 6. x- dx ,when x = 3, y = 2…

A: The given differential equation is xdvdx=1-4v23v

Q: -3 -4 Evaluate: ₂₁ (4x²y - z³) dz dy dx

A: ∫03∫-24∫10(4x2y-z3) dz dy dx

Q: 2 of iz.il:4 C) zP IZ.il=

A:

Q: day dx5 + day dx4 - 6 d³ y = 0 dx³

A:

Q: Please solve number 8. Show the complete details of your solution. Enclose your final answer.

A:

Q: 4 х3 * tanx? * cosx dx 4

A:

Q: 2. 3t3 dx = x(x²+ 212) dt. Solve by two methods. %3D

A:

Q: 2x + x? +3 -dx (x² +1)² X¯ +

A: Let I= ∫012x3+x2+3(x2+1)2dx ⇒I= ∫012x3(x2+1)2dx+  ∫01x2+1(x2+1)2dx+∫012(x2+1)2dx Let's say  ⇒I= I1+…

Q: 12 2 -1 dx

A: The given integral is ∫42x2x33+1dx.

Q: b) x(t) = (e-4t + 3 sin 2t – t)u(t)

A:

Q: y = x^Arctan *(x4)

A: We have to solve derivative

Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First…

A: The given equation is; xdy + (3x-2y)dx =0

Q: Conside the DE y" + a²y = 0; y(T/2a) = 0, y'(1 /2a) = -a where a is a constant. Solve it by using…

A: We are given the DE,                  . where a is constant.  First, we will solve by using trial…

Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First…

A:

Q: y = Arctan (2x)

A:

Q: V Solve the difS er en tiul Equation 2zy 9(っt)=y(5)t) -0 f(x)=35inスTメ-2SinラmX Solve by using…

A: The given problem is to solve the given partial differential equations with given initial conditions…

Q: Using Variable Separable, solve x² (y + 1) dx + y² ( x − 1) dy = 0

A:

Q: 3 9 dx dt -1 -3 with x(0) 4 2. II

A:

Q: dx 2х dy- . y

A:

Q: A manufacturer can produce 4320 cell phones when a dollars is spent on labor and y dollars is spent…

A: Given that a manufacturer can produce 4320 cell phones when x dollars isspent on labor and y dollars…

Q: Q2. Test for exactness and solve (4x³y3- 2xy)dx + (3x*y² – x2) dy = 0

A: Topic- solution of differential equations in exact form . Note:- as per our guideline more than one…

Q: 1 (a) dx, (22 – 8x + 15)i

A:

Q: a) b) √ (x² + 2x) dx x+2 I X2 S dx √x

A:

Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = −2

A:

Q: y = e* - Tese x. What is y'= TescX %3D y!? 2. నా

A: Given, y=ex-πcscx We have to find y'.

Q: Solve 5 2 E #(0) = – 2, y(0) = = 10 | Ly' - 29 - x(t) = %3D y(t) =

A:

Q: Solve the DE using the method of variation of parameters: *y" 4ry' + 6y-6a, y(1) –3, y'(1) =2 All…

A:

Q: 3 x²(x³ + 1)īdx

A: Given : ∫x2x3+134dx

Q: Qi: Calculate the time required to empty the hemispherical tank of radius R = 2 m with a drain hole…

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

Q: 2y(x2 – y + x)dx + (x² – 2y)dy = 0

A: Consider  Mdx+Ndy=0If ∂M∂y=∂N∂xThe the equation is exactIf not exact, we find the integrating…

Q: If y(#) = and z increases from 0 to 0.5 then dy = 0.5. %3D %3D 1+ *

A:

Q: (x+2y-1)dx+(5-2x-y)dy=0; y(0)=0, implicit solution  Also: a) Value of y if x=2

A: By arranging the question and then taking boldfaced ratio we'll get the answer. Here,I am providing…

Q: solve the given initial value problem. Describe the behavior of the solution as t → ∞.…

A:

Q: Pse Variation of Parameters to solve the DE y" – 4y

A:

Q: Solve for the arbitrary constant. Show complete solution. ln y = c1sin3x + c2cos3x + 9x2-2

A:

Q: A manufacturer can produce 4320 cell phones when x dollars is spent on labor and y dollars is spent…

A:

Q: 1+i D) Ze dz

A: Line integrals

Q: ,2 xy´ + y = x²?

A: the given equation is xy'+y=x2 rewrite y'+1xy=1xx2y'+1xy=x the given equation is of the form…

Q: (xy + y + x*)dx - x*dy = 0

A:

Q: A manufacturer can produce 5130 cell phones when x dollars is spent on labor and y dollars is spent…

A:

Q: Solve by Variation of Parameters y"-y = x general solution y(x) =

A:

Q: PART - B IA. Solve (4xy + 3y? - x)dx + x(x +2y)dy = 0 with y(2)=2. IB. Solve (x²D2 + xD - 1)y =ri

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If…

Q: Solve for GS: (D²+4)y = 8 sec 2x

A: This is a differential equation question