Find the general solution of the given second-order differential equation. 25y" – 15y' - 4y = 0

Math

Differential equations Solutions

5. [0/1 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQMODAP11 2.2.010.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Solve the given differential equation by separation of variables. dy dx 2y + 5 2 6x + 7 1 36x + 42 tol X Need Help? Read It Master it

Math

Differential equations Solutions

2. [-/19 Points] DETAILS ZILLDIFFEQMODAP11 2.6.004. MY NOTES ASK YOUR TEACHER Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find an explicit solution for the initial-value problem and then fill in the following tables. (Round your answers to four decimal places. Percentages may be rounded to two decimal places.) y' = 2xy, y(1) = 1; y(1.5) y(x) = (explicit solution) h = 0.1 xn Yn Actual Value Absolute Error % Rel. Error 1.00 1.0000 1.0000 0.0000 0.00 1.10 1.2337 1.20 1.5527 1.30 1.9937 IIIII 1.40 2.6117 1.50 3.4903 h = 0.05 X yn Actual Value Absolute Error % Rel. Error 1.00 1.0000 1.0000 0.0000 0.00 1.05 1.1000 1.1079 0.0079 0.71 1.10 1.2155 1.2337 0.0182 1.48 1.15 1.3492 1.3806 0.0314 2.27 1.20 1.5044 1.5527 0.0483 3.11 1.25 1.6849 1.7551 0.0702 4.00 1.30 1.8955 1.9937 0.0982 4.93 1.35 2.1419 2.2762 0.1343 5.90 1.40 2.4311 2.6117 0.1806 6.92 1.45 2.7715 3.0117 0.2402 7.98 1.50 3.4903 Need Help? Read It

Math

Differential equations Solutions

Hw22-3.9-Antiderivatives: Problem 8 Problem Value: 1 point(s). Problem Score: 0%. Attempts Remaining: 12 attempts. (1 point) Get help entering answers See a similar example (.PDF) = Solve the following initial value problem . By this we mean that you should find y = y(x) which satisfies both equations below. (See the linked example.) dy = 2 + 5x, y(1) = -19 ?, x9 dx ANSWER: y(x) = M Help Entering Answers Preview My Answers Submit Answers Show me another Page generated at 11/16/2021 at 08:54pm EST