Q6. If w = y²z² + xy and x = t³ – 1; y=t² + 2; z= 3t , find the total dw at t = 2 dt differential

Q: b) Use the Laplace Transform to solve the following differential equation given the initial…

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Q: The integrating factor of the differential of the form +P,x Q, is given by ef dy. O True O False

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Q: Assume that x and y are both in a differential functions of t and find the required values of dy/dt…

A: Given y=√x

Q: If f(x, y) = 2x² – 8y², then the total differential of f at x = 1 and y = -2 is : - O df = 32 dx + 4…

A: In total differential take the derivative of each terms, put the given values and simplify.

Q: Let y = y(t) be the solution to the initial value problem dy – y = e' cos t; y(0} = 1. dt Find the…

A: Given that y=y(t) be the solution to the initial value problem  To find the value of y(pi)

Q: If x^2+y^2=36 and dx/dt=9, find dy/dt when y is positive and (a) x=0: dy/dt= (b) x=2: dy/dt=  (c)…

A: Given: x2+y2=36    -1⇒y2=36-x2⇒y=36-x2   -2dxdt=9   -3

Q: Provided the integrating factor (IF) = xy2, find the general soution of the differential equation…

A: Multiply the integrating factor in the differential equation to make it exact.

Q: Let y = 2 T. Find the change in y, Ay when x =1 and Ar = 0.2 Find the differential dy when x = 1 and…

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Q: X' (t) = X(t) where X(t) = (8) 3 - [4 -3 8'(t) :

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Q: Find the IVP for the differential eqution X' y' - 3xy'+68y=0, that satisfies the initial conelition…

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Q: Suppose we have a velocity function and an initial condition for position: 1 1 2t v (t) = r (1) =…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: What is the differential equation of the orthogonal trajectories of the family of curves X = Cy? А)…

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Q: Q4/ 2x 1- If z = f(x,y) and z = x²y³ + + 1. Determine the total differential. -"/2 2- Evaluate: 2 S*…

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Q: Find the general iné egral of the partial differential equation dz he which contains the circles +y…

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Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: Find Y(s)/X(s) for the following differential equation d³y +3- dt3 dt? d'y dy +62+5y=: dt d²x dx…

A: We have to determine the fraction YsXs, where Ys is the laplace transform of yt and Xs is the…

Q: Find the integral surface passing through the curve T: z= x³, y = 0 of the partial differential…

A: We have given a partial differential equation ,  xy∂z∂x - 2x4∂z∂y-4yz = 4x8yey2 We need to find…

Q: (b) Find the general integral of the partial differential equation dz dz. = 7., X- which contains…

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Q: Find The complete Solution of the differential eqution y" +24+4y=cosx Subjected to The condition…

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Q: 5. (a) If w = y³z² – xy and x = 2t – 1; y = 3t2 – 2; z = 4t , find the total differential dw at t =…

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Q: 4. Find the double integration of [(1+xy* )dx dy. ww m

A: The given integral is ∫04∫y2y(1+xy2)dx dy

Q: (a) Find the differential dy of y = x² + 2x + 5. (b) Evaluate dy for x = 3, dx = 1/2. (а) dy 3 dx…

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Q: Find the function y(t)y(t) that satisfies the differential equation dy/dt−2ty=−3t^(2)*(e^(t^2))…

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Q: Find the function y = y(x) (for a > 0 ) which satisfies the separable differential equation %3D dy…

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Q: If µ(x, y) = x" y" is an integratingfac. of the the DE. . (1 + 3xy)dx + (xyl + x²)dy = 0 Then, the…

A: A differential equation of the form Mdx+Ndy=0 is said to be an exact differential equation if it…

Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: What is the differential equation of the orthogonal trajectories of the family of curves y = Cx ? А)…

A: Find orthogonal trajectory

Q: 5. (a) If w = y³z- xy andx = 2t – 1; y = 3t2 – 2; z= 4t , find the total differential dw at t = 1 dt…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: B- The velocity of a particle v (msec-¹) at time t(sec) satisfies the differential dv equation…

A: We have given differential equation  tdvdt=v+t dvdt=vt+tt dvdt-vt=1 Comparing this with differential…

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 4+ 12x…

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Q: Find the total differential of  w=x3yz+xy+z+3

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 +…

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Q: 1. Find the total differential dw. x + y +z 3. w = xyz

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Q: (a) Find the differential dy. V3 + x2 dy = (22+3)() (b) Evaluate dy for the given values of x and…

A: Given query is find the differential of y and its value.

Q: If the input x(t) and the output y(t) are connected by the differential equation dy(t) T + y(t) =…

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Q: Find the integrating factor of the given Non-Exact DE y (4x + y) dæ – 2 (x² – y) dy = 0

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Q: find Ly for the given differential operator if (a) y(x) = 2e3x, (b) y(x) = 3lnx, (c) y(x) = 2e3x…

A: Given: L=D3-D+4 (a) y(x)=2e3x Ly=D3-D+42e3x    =54e3x-6e3x+8e3x    =54e3x+2e3x

Q: Let y = y(t) be the solution to the initial value problem dy = e' cos t; y(0) = 1. - dt Find the…

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Q: O Find the particular solution of the #ffeat differential equaton d?x + c X =CL+ dt given that x ()…

A: Explanation of the solution is given below...

Q: Find the function y = y(x) (for r > 0) which satisfies the separable differential equation dy 2 +…

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Q: Step 3 The total differential dz for the function z = x?y is dz = ydx + dy.

A: We need to find dz.

Q: Find the function y(t)y(t) that satisfies the differential equation dy/dt−2ty=−3t^(2)*(e^(t^2))

A: Consider the provided question, We have to find the solution of the given D.E,

Q: Let y = 4/T. Find the change in y, Ay when x = 4 and Ax = 0.1 Find the differential dy when x = 4…

A: Given:- f(x) =4√x To find :- Change in y , Δ y when x = 4 and  Δ x=0.1  Differential dy when x= 4,…

Q: Consider the differential equation dy/dt = 1 + y2, where y (0) = 0 1)Use the PC4 scheme (RK4 + AB4…

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Q: If p(xy) =y is an integratingfactor of the the DE. (12+Sxy)dr + (6xy+ 3x2)dy = 0 Then, the values of…

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Q: 3. Evaluate the total differential of the below equation at (x, y) = (16, 24), where dx = 1.5 and dy…

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Q: Find the function y(t) that satisfies the differential equation dy 2ty = 6te" !! dt and the…

A: To find the solution for the given differential equation

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8+16x…

A: The given initial value problem is                                  dydx=8+16xxy2    x>0  ;…

Q: If H is the integrating factor of 6xy dx + 5(x² + y)dy= 0, then compute H(8). A 1 в) 2

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