Q1: Solve the partial differential Equation by finite difference method: 8. Ux + 3uyy =5xy :0sxs1; 0sys2 ;h=: u(0,y) = y, u(1,y) = (y- u(x,0) = x, u(x,2) (x- 1/7

Q: (c) A function y(t) is a solution of y' + ky = 0. Sup find: (i) k (ii) y(t)

A: It is differential equation problem

Q: Find the general Solution of the Partial differential equation (xz + yz)p+ (xz- yz)q = x' + y?

A: This is Lagrang's linear equation so solve using auxiliary equation.

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Q: solve the differential equation: 4xydx+ (4x² +3y)dy=0 Select one: O a. F(x,y) = 2x?y?+y³ +c O b.…

A: We have to find the function by solving the differential equation.

Q: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ------by exact method ---by linear method

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Q: Identify four (4) lines of error on the solution of the given differential equaiton. the absence of…

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Q: Find x and y for which the following equation is satisfied: x+2 = - 5+i i-5

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Q: nd the particular solution of the following partial differe paration of variable method when u(x, 0)…

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Q: y' = (x - 1)(y-2), y(2) = 4

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Q: • ex+y -2y-2=Ce e2x+y +2y-2%3DCEY e2xy -2y+23DCEY

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Q: Find the solution to y' = x?(y + 1) given y(0) = 3. Show all work and put your final answer in f(x)…

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Q: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

A: Part(a) The correct option is option A. Because in option A has the  question does not make an…

Q: Eliminate the arbitrary constant. 2x y=c₁' e B A y"-y'- 2x=0 C -X (D) +c_e 2 y"-y'-2y=0 2y"-y'-2x =…

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Q: ) Verify that y=e-2x is a solution of equation x(y")3+ (y')4 – y = 0

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Q: Solve the DE: (2-x) y³ +(2x-3) y'' - xy' + y = 0, x<2, given that y(x) = ex is a solution of the…

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Q: b) Solve for unit impulse response for the system differential equation below: (D + 2)y(t) = -(D +…

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Q: Determine 4sin(x); the value of the arbitrary constants y(x) = C₁e* + c₂e¯* + y(0) = 1, y'(0) = -1…

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Q: Find the solution of with y(0) = 7 and y'(0) = 6. y" + y − 2y = 54 et

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Q: (a) y" – 4y" + y' + 6y 0. (b) y" – y" + 2y' = 0.

A: General solution for the Homogeneous differential equations with constant coefficients

Q: Q1/ solve the differential equation - 24 - 2xy with initial condition y(1) = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Q2: (a): Solve (i) (x² D² – xD – 151I)y = 0 y(1) = 0.1, y'(1) = -4.5 (ii) 100 – 20 + d? N dN dt? dt

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