(6) Consider the SDE dS(t) = 0.5S(t)dt+2S(t)dW(t), where S(0) is a constant. Does a UNIQUE solution exist? If so find it. The following answers are proposed. (a) The SDE does not satisfy the conditions of the existence of a unique solution. So multiple solutions can exist. (b) The unique solution is S(t) = S(0) exp (1.5t +2W(t)) (c) The unique solution is S(t) = S(0) exp(-1.5t+2W(t)} (d) No solution exists. (e) None of the above is correct. Choose the best answer. (a)

Q: Find an explicit solution of the given initial-value problem. - 2(x² + 1), - 1 Need Help? Read It…

A: Given: dxdt=2x2+1, xπ4=1 Solution: Now we shall seperate the variables. dxx2+1=2dt Integrating both…

Q: Solve the given initial-value problem. dy (x + 3) + y = In(x), y(1) = 25 dx х In(x) —х+ 51 y(x) =…

A:

Q: Solve the given initial-value problem. dy =x+4y, y(0) = 7 dx y(x) = Give the largest interval I over…

A: Introduction: In mathematics, differential equations are essential. These are the equations where…

Q: Solve the initial value problem. 5 (6yexy - dx y dx + 6x6xy 5x 2 y dy = 0, y(2) = 1

A:

Q: Show if the the initial value problem is dy separable or not -=y²(1+x²) • dx vith the initial value…

A:

Q: Find the market price of a chair, if Shalini paid Rs 3430 after discount of 2%?

A: Given discount = 2% Selling price = Rs. 3430

Q: Find the general solution of the differential equation dy 2x² (y > 0). dx y+1 Leave your answer in…

A:

Q: Solve the exact initial value problem 3y² dx + + (³1²575 2²2 + √²4) · + √2y) dy = 0, y(0) = 2, y5 X…

A:

Q: Solve the initial value problem. dy y dx X 8xex, y(1)=8e +6 The solution is y(x) =

A:

Q: Solve the given initial-value problem. x(x + 1)dy/dx + xy = 1,    y(e) = 1   y(x)==   Give the…

A:

Q: (a) Solve the differential equation dy= (y-1)(x+2)dx , y(1)=2, using variable separable method. .3…

A:

Q: Solve the given initial-value problem. =x+2y, y(0) = 6 y(x) = dx + 25 4 Give the largest interval I…

A:

Q: Solve the following differential equations: dy (i) 2y = 4 dx У (0) %3D 1 dx (ii) + 2x = 10e3t dt…

A: Differential equations

Q: (x + 3) dy + y = In(x), dx + y = In(x), y(1) = 15

A:

Q: dx dt x(0) with the initial value 8 B 6 x (t) = Solve the system 2 3 = -2 7 X

A: The given problem is to find the solution for the given matrix differential equation with given…

Q: Solve the initial value problem. dy = 6t sin y, y(2) = dt 4 The solution is (Type an implicit…

A:

Q: Solve the given initial-value problem. (x + y)* dx + (2xy + x- 7) dy = 0, y(1) = 1

A:

Q: the solution of thethe solutions of the dy/dx+ ytan(x)+y³xsec²(x)=0

A:

Q: Solve the following initial value problem; i.e. Find r(t) dr/dt = ⟨12e-3t, 10 cos(2πt)⟩, r(0) = ⟨9,…

A:

Q: Solve the initial value problem. +(4x sec²(4y) + (4y) + — ) dy = dy = 0, y(0) = 1 (tan (4y) - 1)dx +…

A:

Q: b) Use the substitution z = dx dt to find the solution of the initial value problem X 3 + ²/x = x²…

A:

Q: ) Solve Solve y(t) + | y(t) sinh(t – z)dt = 3t + e* y(t) + y(t) sin

A:

Q: can you help me explain the diagram

A: Here we have a diagram that shows some independent variables, some moderating elements and dependent…