Please show work & I will rate! Thanks 1. a) Solve the following linear ODE. dy...
1. a) Solve the following linear ODE. dy * dx + 2y = 4x2, x > 0 b) Solve the following ODE using the substitution, u = dy (x - y) dx = y c) Solve the Bernoulli's ODE dy 1 + -y = dx = xy2 ; x > 0
Please help out! I will rate thank you b) Solve the following ODE using the substitution, u = dy (x - y) = y A c) Solve the Bernoulli's ODE dy 1 dx + y = xy2 ; x > 0
Please answer! I will rate thanks 2. Solve the following ODEs using an appropriate method. dy (ey +1) = e sinx dx
Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) (1 + x*)dy + (1 + y*)dx = 0; y(1) = V3. Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) (1 + x*)dy + (1 + y*)dx = 0; y(1) = V3.
Solve the ODE/IVP: 4x^2y'' + 8xy' +y=0, y(1)=2, y'(1)=0 Please help me solve this using series. Thanks
Please show all work if possible, thanks! Show that the system of differential equations is Hamiltonian, and find a Hamiltonian function H(x,y). You may assume that H(0,0) = 0. 3y2 - 2.c dx dt dy dt 6x2 + 2y
2. (8 points) Solve the linear, 1st order ODE with initial value: dy dr 3. (7 points) Find all critical points and the phase portrait of the autonomous Ist order ODE dy dr -5y+4 Classify each critical point as asymptotically stable, unstable or semi-stable. Sketch typical solution curves in the regions in the ry plane separated by equilibrium solutions. dy dx (S points) Solve the Bernoulli equation:-(- 31-1 7. (8 points) Solve the ODE by variation of parameters: -4y+4y (+...
help with this linear algebra question dy =1 +1 dt X-- Solve the system: 5.) dx dy 2y=e + dt d
Classify each equation as linear or nonlinear dy/dx = y^3 - 9 linear y" = 3y' - 6 nonlinear > 3y y' = 6-4 linear > 4x^2 y" - 3x y' + 4y = 2x - 4 linear
Can anyone help me with this Linear Algebra question? dy =1 +1 dt X-- Solve the system: 5.) dx dy 2y=e + dt d