Q3/ Solue The Following Simul taneous equatron -y + Sin t + Cost %3D dt where x (6) = 1 ,x') =0, y(o) =-1, yl0)= -1 =D0

Q: Obtain the solution using Integrating Factors Found by Inspection y(x3y3 + 2x2 − y)dx + x3 (xy3 −…

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Q: Find dy/dx by implicit differentiation   4Cos x Siny  =1

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Q: (10) Find x²e*y dx dy. (Hint: Reverse order of integration.)

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Q: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

A: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

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Q: 3y dx 2 (2y In +3 sin y]dy =- + 3 Sin Y X+ 3

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Q: That question please

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: The given function is  y = 2x2 + 1; dx/dt = 2 centimeters per second

Q: Show that if y = ex² dy cosh x then y(2x + tanh x) %3D dx Differentiate with resnert to y 1.

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

Q: if z=tan-1 (y/z) where x=lnt and y=et . Find (dz/dt)

A: Given,          z=tan-1yz where x=lnt and y=et

Q: find dx/dt at x=1 if y=3x^2+3 and dy/dt=1

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Q: The integrating factor of the linear DE of order one + y csc x = sin x is dx

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Q: The degree and order of the differential (出) 1 8 dy equation 1+ is 3 dy dx dx

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Q: What is an integrating factor of the nonexact DE  (2y^2 + 3x) dx + xydy = 0 ?

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Q: dy 4 – 5y = e-3t sin(4t) ; y (0) = 3, y (0) = 10 dy %3D - dt?

A: We solve the given IVP  y"-4y'-5y=e-3tsin(4t)........(1) y(0)=3, y'(0)=10.......(2)

Q: The order and degree of the differential d³y V dy equation: 7+ is dr3 dx 3,2 7, 3, 3, 1 3,7 Question…

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Q: (ylny-exy)dx + ( + xlny) dy = 0

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Q: dx (2tx +x+ cos t) + (-sin x +t² +t)- = 0. dt %3D

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Q: What is the integrating factor of (y – cos² x) dx + cos xdy = 0?

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Q: A particle moves on the circle x2+y2=25 in the xy-plane for time t≥0. At the time when the particle…

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Q: Use the Euler method with dx = 0.2 to estimate y(2) if y' = y/x and y(1) = 2.  What is the exact…

A: Given: dx=0.2 y'=yx and y(1)=2

Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: d²x dx + sinx=0 +2. dt for small excursion about x = T/4. 1. Linearize dt

A: d2xdt2+2dxdt+sin x = 0 - (i)here, the above given equation is homogeneous (RHS=0) but non-lineardue…

Q: dy cosx+ ysin x =1 dx

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Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

Q: S tan ax secex dx 3

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Q: 4. Evaluate: a) 4 (earctan x)dx o dx b)음 arctan x dx # earctant dt

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: A particle moves along the curve y = x3/2in the first quadrant in such a way that its distance from…

A: Let w de the distance between origin and the particle at any time t. Given that, dwdt=11 Now by…

Q: 4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos…

A: To determine ddx∫0x3 x cos t dt.

Q: find the total differential dz. xety

A: dz=∂z∂xdx+∂z∂ydy ---->1Consider z=xex+ythen∂z∂x=ex+y+xex+y∂z∂y=xex+y

Q: 2. Use the 4th-order Runge-Kutta method to integrate dx = t - sinx dt given x(0) = 1, using a step…

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Q: 5) If y = x³ + 2.x and dx/dt = 5, find dy/dt when x = 2.

A: Q.5) If y=x3+2x and dxdt=5 Find: dydt when x=2

Q: A particle moves along the curve y= /1+x³. As it reaches the point (2, 3), the x-coordinate is…

A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3…

Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x

Q: Find dy/dt at x = 1 and y = x^2 + 3 if dx/dt =

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Q: Find dy dt dy dt at x = 3 if y = 5x² + 3 and dx dt 2.

A: Given:-y=5x2+3dxdt=2 at x=3To find : dydt

Q: The integrating factor of the linear first order differ dy sin2x y+tanx xp Oa None of these Ob sinx…

A: Given differential equation, sin2xdydx=y+tanxdydx-ysin2x=12cos2x If the equation is of the form…

Q: 2) / vĩ IneF dx dx etan x dt dx dx 3) 1- sin?x 4) t In vt 5) J Jx (1 + x)

A: Here, we need to find the value of the integration  1) ∫x+35xdx 2) ∫xlnexdx 3) ∫etan(x)1-sin2xdx

Q: If x = t- sin t and y = 1- cost dy find the dx

A: Given, x=t-sinty=1-cost       Find: dydx

Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: Find the general solution using Integrating Factors Found by Inspection y(x^2 y^2 – 1)dx+ x(x^2 y^2…

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Q: dy for y = dx 9t -dt. 9t + 1 iz's rule to find

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Q: Q10.a) Find rsinx if tnx Jt +5 dt + siny = x – x²cosy

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Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

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Q: Can you help me step by step?

A: Given information:

Q: Find dy/dt Y=(1+Sin 12t)^-5

A: Given function is y=(1+sin12t)-5

Q: 1) S 2 sec y (tany – sec y) dy

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

Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)

A: To find dydx for: tan-1x+y+lnx3y=πsinhy