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Help on this question of Differential Equation, thanks. There are also equations, known as integro-differential equations, in which both derivatives and integrals of the unknown function appear. Solve the given integro-differential equation by using the Laplace transform. D'(o) – 4 (1 - 1)?°(E) dě = –31, $(0) = 3 Enclose arguments of functions in parentheses. For example, sin (2x). (t) = QB
6. Please help me solve the following Differential Equations question. please show work. Determine the longest interval in which the given initial value problem is certain to have a unique twice-differentiable solution. Do not a solution. (Enter your answer using interval notation.) t E 匝 Show My Work@ptionali@
Hello! I need help with this college level differential equations question. Please show work and thank you. 3. Consider the initial value problem y' (t) 1 0y(t) y(0) Clearly, the solution to the system is y(t) = et and 2(t) = e-10 t. Suppose we tried solving the system using forward Euler. This would give us with to 0, y(to) 1, and z(to-1. a. Show that the numerical solution for z(t) will only tend to zero if Δι < 2...
7. Please help me with the following Differential Equations problem Find the inverse Laplace transform of the given function. (Express your answer in terms of t) - 25 us(t)GO Tutorial Additional Materials eBook
stuck on these few, please help. 3. Systems of equations Convert the following fourth order differential equation into a system of four first order differential equations. Use zi for the independent variables of the first order system. 4. Beat frequency, a mini tutorial a. Show that ye) the following undamped harmonic oscillator. Write out the steps to rederive this solution. It is given here to save time and to have the correct set up for part b. 16 9 1,...
please help Problem 1: Solve the following differential equations subject to the specified boundary conditions: a. 40, subject to y(o) 30 and y(1) 10 br,subject to T(O2) 0 c. da-a29-0, (a is a constant), subject to θ(0) 50 and θ(x-.00) dx2 d20 dx? 10
hi! I need help with this college level differential equations question. Please show all work and thank you. 3. We will next use matrix exponentials to find a fundamental matrix for the given system of DEs, (t) = P3(t) , P= (a) Letỉ(t) Ty(t), where Ț s a 2 2 constant matrix. Then, the system becomes = Dy, where D-T-1 PT. Find matrices T and D, such that D is a diagonal matrix. (Note that D and T are complex...
This is a partial differential equations question. Please help me solve for u(x,t): Find the eigenvalues/eigenfunction and then use the initial conditions/boundary conditions to find Fourier coefficients for the equation. 3. (10 pts) Use the method of separating variables to solve the problem utt = curr u(0,t) = 0 = u(l,t) ur. 0) = 3.7 - 4, u(3,0) = 0 for 0 <r<l, t>0 fort > 0 for 0 <r<1
Assuming ε << 1, solve the following ordinary differential equations (Please help with b and c ) 2. Assuming e << 1, solve the following ordinary differential equations dy dy dx and discuss the effects of perturbation for this problem. For parts (b) and (c), assume 2. Assuming e
3 4 Please help me solve the following Differential Equations problem Either solve the given system of equations, or else state that there is no solution. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.) x2x2 X3 18 2x1 X2 X39 X1x22x39 (xx0,0.0x Additional Materials a eBook Ask Your Teacl Mty Notes O 0/1 points Previous Answers BoyceDifE 010 7 3005 26 Submissions Used If the system is...