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Q3:-Derive the discretization equations for the following differential eq.:- a con +S=0 (roman + dy A):-...
solve the following differential equations (e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di
Use Laplace Transform to solve the following Differential Equations: d) dy + 4y = 2e – 4e- y(0) = 0 dx
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
Question 3 Consider the following linear system of differential equations dx: = 2x-3y dt dy dt (a) Write this system of differential equations in matrix form (b) Find the general solution of the system (c) Solve the initial value problem given (0) 3 and y(0)-4 (d) Verify the calculations with MATLAB Question 3 Consider the following linear system of differential equations dx: = 2x-3y dt dy dt (a) Write this system of differential equations in matrix form (b) Find the...
(24 points) Find the general solution to each of the following differential equations dy a) = e)(x - 2). Over what interval is this solution valid? dx b) y" - 2y + y = (Hint use the method of variation of parameters) 1 + x2 c) y" - 8y' + 17y = 0. Is this solution (i) undamped, (ii) critically damped, (iii) under-damped, or (iv) over-damped?
Use the method for solving Bernoulli equations to solve the following differential equation. dy dx +3y = e Xy - 8 Ignoring lost solutions, if any, the general solution is y=0 (Type an expression using x as the variable.)
plz if you could make it clear. will thumb up 5. (Hints: This derivation is presented in your textbook briefly. I also discussed that in the class. I would like you to provide step-by-step process for this mathematical derivation. You need to use the continuity equation (Eq. 6-21) for the derivation process) Starting from the first law of Thermodynamics for a differential control volume, derive the general governing equation for temperature (6-35) for a 2D flow over flat plate. Using...
4. (24 points) Find the general solution to each of the following differential equations dy a) = e-(x - 2). Over what interval is this solution valid? dx b) y" - 2y + y = (Hint use the method of variation of parameters) 1 + x2 c) y" - 8y' + 177 = 0. Is this solution (i)undamped, (ii) critically damped, (iii) under-damped, or (iv) over-damped?
Thank you! Use the method for solving Bernoulli equations to solve the following differential equation. dy 3 dx + yºx + 5y = 0 = C, where C is an arbitrary constant. Ignoring lost solutions, if any, an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.)
Consider the following nonhomogeneous linear differential equation ay 6) + by(s) + cy!4) + dy'"' + ky'' + my' + ny=3x²3x - 7cos +1 where coefficients a, b, c, d, k, m, n are constant. Assume that the general solution of the associated homogeneous linear differential equation is YAEC,+Ce**+ c xe** + c.xe3* + ecos What is the correct form of the particular solution y of given nonhomogeneous linear differential equation? Yanitiniz: o Yo=Ax*e** + Ex + F **+Cxcos() +oxsin()+Ex+F...