d?y EI + Fy = 0, dx² Slove the equation with y(0) = 0 y';) = 0. E, I, L F, are non-real numbers zero

Q: . (solve exact de) (2ysinxcosx - y + 2y?e*v* )dx = (x - sin?x - 4xye*)dy

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Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: Q3\ using Euler method, find an approximate value of y corresponding to x€ [0 -0.7], Given = x(x +…

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Q: Which one is an integrating factor for the equation y(2x – y+ 1)dx + x(3x – 4y+ 3)dy=0? 9020900 et

A: Given that, y2x-y+1dx+x3x-4y+3dy=0                               ……(1)   The above differential…

Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01) xe…

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Q: 2. 2x?cos y dy + sin y ( x+ siny)dx

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Q: cosh x dy + (sinh x)y = e-* dx

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Q: Find the differential dy of the given function. (U y = 3x – (sin(x))2 Need Help? Read It

A: Differentiation y with respect to x , we get differential dy,

Q: ay at the point (1, ). dx For the equation given below, evaluate x* + 9 - 6y dy at (1, 품) - ㅡ -- 61…

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Q: Q2/Find dx of y = sin(e') + xtan-1x. %3D

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Q: Solve the integral equation y(t) cos t + y(x) cos(t – x)dx %3D

A: The given integral equation yt=cost+∫0tyxcost-xdx can be written as  yt=cost+ytcost Now apply the…

Q: 2.ly-x dx+ dy = 0

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Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

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Q: sin(x) sin(y)dx + cos(x) cos(y)dy = 0, y (0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: 4th order RK method  yi+1=yi +16k1+2k2+2k3+k4Where ti+1=tn+h          k1=fti,yi,…

Q: dy of the function y = sec ( 1 + dx V4 + sin- (4 + x²) ). Find the derivative dy DNE dx

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Q: Q3 using Euler method, find an approximate value of y corresponding to xe [0 - 0.7], dy Given = x(x…

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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: Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx…

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Q: I 1 y sin(2²)dx dy. 0. y2

A: See the details solution in below

Q: e'sin" ) *sin sech (x-2) * sech (x-2) F (x) = Explain why g(z) - 0, is not differentialble at a2. if…

A: Here, fx=exsin3πxx2sechx-23

Q: BERNOULLI'S EQUATION dy 1 2(y+1) 2) dx 2(y+ 1)* x+1

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Q: Using dx/dy solve sin(x+y)-cos(x+y)=1

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Q: order differential coefficients as serie (b) y) when y = (7) sin 50. 50

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Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: (4-y)dx +dy =O what is the of differantial general soluttion equation ?

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Q: What is the solution of the equation dey/dx=y/x+tany/x

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Q: Q) - Find of y = sin de dy ! -11

A: Siny = 1/x.

Q: Bernoulli’s Equation  2ydx+ x(x^2 ln y− 1)dy= 0

A: We have a given differential equation, 2ydx + xx2 ln y  -1 dy = 0 Here , Multiply both sides by…

Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

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Q: 11. Put the following equation in separated form, do not integrate. dy с. = sec (y)e*-y(1 + x) dx

A: A detailed solution is given below.

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: dy Y - sin sin-* = 0 ソーx || dx 3.

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Q: Test for exactness (2ysinxcosx - y + 2y?e*y )dx = (x - sin?x - 4xyey")dy %3D solve exact de,…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy= Need…

A: Using derivative

Q: Find differential of the function ? = (x^2+2)^3 dy = ____ dx. When x = 4 and dx = 0.05, compute…

A: We will differentiate the function Y=(x^2+2)^3 as follows

Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin…

Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: Q4. Test for exactness and solve (ycosx – cosy)dx + (sinx + xsiny)dy = 0

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Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

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Q: e* sec (e* +1)dx tanle* +1

A: We need to evaluate ∫ex sec2(ex+1) dxtan(ex+1)                              (1) Let tan(ex+1) = t On…

Q: Let y = =tan(4x + 6). Find the differential dy when x = 5 and da Find the differential dy when x = 5…

A: A detailed solution is given below.

Q: Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Given  data  xey+2z-cos(xy)+ey-ln2=4  ,  A(ln2,0) Also given  when x changes by (dx=0.01) and y…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2√x + +√x dy = Need Help?…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy = X Read…

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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: 5. e tan y dx + (1-e) sec? y dy = 0. %3D

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Q: dy Find the solution to dx 5xy which passes through the point (0, e). (In y)? y =

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Q: 2. cos(y)dx= x(sin(y)-x)dy

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Q: 04/ Determine the particular solution of the equation d²y dx2 = 9 given the boundary 3 dx conditions…

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