(10 points) Solve the following differential equation: ydr + edy 1-zºy2 + udt = 0. =...
Q2 (10 points) 1. Solve the differential equation =-y given that y(0) = 10. 2. Solve the differential equation given that y(0) = 10. 3. Which of the above equations is a linear differential equation? 4. Which of the above equations has solutions for all t > 0? Explain.
Differential Equations
1. (10 points) Identify the equation and solve it. 2. (10 points) Solve the following initial value problem 3.(5 points) Solve the following exact equation. (Solve it by using the method for exact equations)
3. (10 points) Solve the following Bernoulli Equation. ty+2y- y = 0 1>0. 4. (10 points) Solve each of the following and tell whether the differential equation is linear or nonlinear. 2 1 y(i)=0
(8 points) Solve the following differential equation: (y - x)dx + (x + y2)dy = 0. = constant. help (formulas)
Q2 Differential Equation 10 Points Find the solution to the following differential equation satisfying y(0) = 0; edo y e-zdy - 2.5, = 0
1. Solve the following homogeneous differential equation. ty' = 1. cos (6) + y 2. Solve the following Bernoulli differential equation 3. Solve the following initial value problem. (Hint: transform the equation to a separable equation through a substitution) y-(x + y + 1)? (0) - V3 - 1 4. Let T represent the temperature (in °F) of an object in a room whose temperature is kept at a constant 60°. If the object cools from 100 to 90° in...
*(1-6) (10 points each) Solve each differential equation. (Don't use the Laplace transform). 4. xy - y - xy = 0. It is a Bernoulli equation.
Solve the following Exact Differential EquationSolve the following Exact Differential Equation with boundary value y(-1) = 2Solve the following higher order differential equation given that y(pi/3 ) = 0, y'(pi/3 ) = 2
3. (8 points) Solve the differential equation: y6-9y(4) + 20y"=0.
7- Solve the following differential equation foperiytz_ 64 - a) uo – a) -e* 1{10} useful for this problem. y" + y = (1-21), y(0) - 0, y'(0) - 1