19 dy Find dt y21(32-75 dy dt II

Q: dt cos²(t) dr du du cos? (t) at + ex. -7u, dx ex dr du -7u slove dr t (0 ) -0, x(0 ) -λ , u (0)-eet…

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Q: Given the differential equation y′ = y(y + t). Sketch (by hand) a direction field on the rectangle…

A: Direction field :

Q: What is the differential equation of the family of parabolas with their vertices and foci on the y –…

A: To find the differential equation of family of parabola with their vertices and foci on y axis.

Q: Find the change in y, Ay when z = 5 and Ar = 0.2 Find the differential dy when z 5 and da 0.2 Submit…

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Q: FIND dy AND dy OF x= VI-t AMD y= t° -st. dx a 4t Vit day dx2 7-1^7- d^y-4t %3D c.)dy – 4t JI-t %3D –…

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Q: dx dt dy dt х — 2у + t х — у + 2t

A: The given equation is dxdt=x-2y+tdydt=x-y+2t This equation can be rewritten as x'=x-2y+t t=x'-x+2y…

Q: Find the differential of the function. z = e-5x cos(9xt) dz = dx + dt Need Help? Watch It

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Q: differential eqation, find general solution for dy/dt = −3y + 4 cos 2t   thank you.

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Q: dx dy =1.95. dt Given y = x. Find when y= 3 and %3D - - dt (Simplify your answer.) dt

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Q: The degree and order of the differential equation (出) 1 dy 1+ is = dx dy dx O 2, о16, 1 Ο 14, 1 о 1,…

A: Simplify and then find the order and the degree as shown below.

Q: (а) dy/dt %3 3y(y — 1) (b) dy/dt 3 y? — бу — 7 (с) dy/dt 3 у cos(y)

A: The directional field for equation 1 is given below:

Q: ii) Solve the Linear Differential dy equation + (sec a) y = 2 tan a dx %3D

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Q: dx If z4 = x+y2, dy 3, and z > 0, find dz -1, dt at (x, y) = (0, 4). dt %3D %3D dt Please give an…

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Q: dy dt y = (t tant) ¹ Find 11

A: y= (t tant)11 y= t11 tan11tUsing formula ( d(uv) = uv'+vu' )diff w.r.t "t"dydt=t11.11tan10(t) sec2t…

Q: 16. y' + (2/t)y = (cos t)/t, y(n) 3D0, t> 0

A: The given DE is: y'+2ty=costt2

Q: Q-11 Find the order and degree of the differential 3 dy equation dx? dy 4 = 0.

A: Consider the differential equation  d2ydx232−dydx−4=0

Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx =…

Q: Solve the differential equatons (2x + Y I+ x²yª 1. dx 1+ (xy)2/ dy

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Q: Question 8 Evaluate. The differential is exact. (6, 9, 8) (5x + 1)ex dx + z dy + y dz (0, 0, 0) 6e…

A: A parametric equation defines a group of quantities as functions of one or more independent…

Q: Solve the Bernoulli equation for y by making the substitution u = dy 3y + y°. dt Use the following…

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Q: 2х- 1 dy for y = dx J (*-7) (1* -7) dt. Use Leibniz's rule to find dy dx

A: Given, y=∫02x-1t4-7dt Using Leibniz's rule we have to find dydx. According to Leibniz's rule we…

Q: da at I = dt dy dt - 5 if y = 5x? +1 and 5. Find da dt Submit Question

A: We have given  y=-5x2+1 dydx=ddx-5x2+1 dydx=-5ddxx2+ddx1 dydx=-5×2x+0 dydx=-10x  ..........(i) Given…

Q: Find for y = | 12t°dt. dx

A: Given: y=∫0x12t3dt

Q: 1. Solve the DE as follows: d'y dy +3- 2 dt +2y= 24 y(0) = 10 and y'(0) = 0 dt

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Q: 3. (4r'y-15r-y)dt + (r +3y-1)dy = 0 CS Scanned with CamScarner

A: We can solve this using exact equation of differential equation

Q: Solve the Following Bernoulli Equation dy = y – y² – ya | dt Show ALL Workings

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Q: dx —х +3у dt 13. Find the general solution dy -3x+5y dt ||

A: The objective is to find the general solution of system of differential equations…

Q: 1 m # n için | Pm(x) Pn(x)dx = 0 %3D -1 b-) show that note: Legendre equation (1 – a²)Pm (x) – 2æPm…

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Q: Find the differential dy of the given function. y = √3-x² dy X 3 - x Submit Answer =dx 2

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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Q: -= 3x+y², Use the Modified Euler's method to find y(0.1) correct to 3 decimal places given dx…

A: Modified Euler's method uses the formula: ym+1=ym+hf(xm+12h,ym+12hf(xm,ym)) to perform the…

Q: dx Ifz = x + y = -2, dt dy = 3, and z> 0, find dt dz at (x, y) = (4, 0). dt Please give an exact…

A: We know that derivatives power rule is  d(xn)/dx = nxn-1 Here i attached the solution of this…

Q: Q4: B): Solve the following differential equation: -3 +2y et for y(0) =1; (0) = 0 ,using Laplace…

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Q: olve the following differential equations of 2 • dx+ 2(xe" – y)dy =0;

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Q: 19. State the order and degree of the differential d y d³y equation dx dy Cosx dx +2 + dx? а. 3, 2…

A: Order of the differential equation The highest derivative in the differential equation is the order…

Q: d³y dy +t- + (cos (t))y = t dt3 dt

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Q: 3 + 1)'0 dy calculate dx Given y = dt

A: From the fundamental theorem of calculus, ddx∫0xf(t)dt=f(x) And from the chain rule,…

Q: Q.1. Use the differential dy to approximate ay when y=3x-2 and x changes from 2 to 2.03

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Q: 1. Solve the DE as follows: " +3 d'y dy -+2y= 24 y(0) =10 and y'(0) = 0 di? dt

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Q: What is the differential equation of the family of parabolas with their vertices and foci on the y –…

A: We need to find differential equation of the family of parabolas with their vertices and foci on y -…

Q: 3. Linear DE of Order one 2y(y? – x)dy = dx 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e-2x² dx

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Q: (1+ In xy) dx + (-)dy = 0

A: See the attachment

Q: A) Classify the following differential equations and solve it : 1- Y = (1 + e*)(y² – 1) dy (using…

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Q: Transform into Bernoullis' form the differential equation ry' +y - r*y ly = ry? dz + zy = ry? dz dy…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 4 dy = y = 4√x + Submit Answer

A: To find differential dy for the given function.

Q: dx dt Please give an exact answer. If z² = x³ + y², = dt 1, dy dt Provide your answer below: = -1,…

A: The objective of the question is evaluate the derivative of the given function at given point.…

Q: 5.Express this model of an electric circuit d²y dy +6 +5y = sin10t, y(0)=0, y'(0)=1 dt² dt As a pair…

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Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided ,…

Q: Q5: Solve the differential equation by using Laplace Transformation method? y" – 2y' + y = cos x –…

A: Consider the provided question,