Differential equations, need help solving #10
Differential equations, need help solving #10 7-13 INITIAL VALUE PROBLEM Solve the IVP by a CAS,...
4. Consider the following initial value problem: y(0) = e. (a) Solve the IVP using the integrating factor method. (b) What is the largest interval on which its solution is guaranteed to uniquely exist? (c) The equation is also separable. Solve it again as a separable equation. Find the particular solution of this IVP. Does your answer agree with that of part (a)? 5 Find the general solution of the differential equation. Do not solve explicitly for y. 6,/Solve explicitly...
Differential Questions problem. Can someone help. Thanks. 1. Consider the initial valuc problenm ay + 5y-cost, y(0) = 1. Solve the IVP using THREE DIFFERENT METHODS. 2. Solve the following differential equations. If there are initial values, solve the IVP. If there are not, find the general solution. (a) (2x + y)dr + (Zy +エ)dy = 0, y(2) =-3; (o) du) dx 2y +4y 3. Solve the following initial value problems y" + 2/ + 5y = 0, y(0) =-1,...
Differential Equations Only people that are proficient in differential equations should even attempt to solve No sloppy handwriting I must be able to easily and clearly read your answer Circle final answer. Here are some EXAMPLES of what the answer should look similar to. If your answer is mildly different from these examples, then you are more than likely incorrect. Solve the given symbolic initial value problem and sketch a graph of the solution. y" + 4y = 68 -...
Differential Equations Solve the given initial value problem. y'" - 2y" - 36y' + 72y = 0 y(O)= -13, y'(O)= - 34y''(0) = - 308 y(x) = 0
please help Fundamental Existence Theorem for Linear Differential Equations Given an IVP d"y d" y dy +ao(x)ygx) dx ... a1 (x)- + an-1 (x) dx" а, (х) dx"-1 yу-D (хо) — Уп-1 У(хо) %3D Уо, у (хо) — У1, ..., If the coefficients a,(x), ... , ao(x) and the right hand side of the equation g(x) are continuous on an interval I and if a,(x) 0 on I then the IVP has a unique solution for the point xo E...
USING LINEAR ALGEBRA: Solve the initial value problem (IVP) using linear algebra. Write the general solution and then a solution for the initial value problem. y" – 12y' + 36y = 0; y(0) = 1, y'(0) = 1
Differential Equations with MATLAB/Plotting first order differential equations in Matlab/ Differential Equations MATLAB/IVP Matlab/IVP I'd really appreciate if I can get some help plotting these 3 first order differential equations as well as their comments. PLEASE! ANYTHING HELPS, I am very stuck :( EZplot and ODE 45 were mentioned in class and the instructions in class were not clear at all. Given the first order differential equation with initial condition. dy/dt = y t, y(0)=-1 Complete problems 1-3 in one...
13.) Use the method for solving homogeneous equations to solve the following differential equation (x2 + y2) dx + Swy dy=0 C, where C is an arbitrary constant Ignoring lost solutions, if any, an implicit solution in the form Fixy)-Cis (Type an expression using x and y as the variables.)
can someone help me to solve this question 5 Question#5 a) Solve the following initial-value problem: (2xcos y + 3x’y)dx +(x? – x’sin y- y)dy =0, where y(0) = 2. [5 marks] b) Find the general solution to the following differential equations: [5 marks] [5 marks] dx
need help please 2) a) Solve the IVP using either variation of parameters or integration factor. Clearly indicate what the varying parameter is if you use variation of parameters or what the integration factor is if you use that method. Also, indicate the general solution to the homogeneous equation. dy 1 dt sin(t) – y, y(0) = 2 b) Draw the direction field and draw in the graph of the particular solution that you found.