Solve these initial value problems; the differential equation is separable in each of them. (a) (b) (c) { 2y y'= 31²-7 y(0) = 4 t-1 cos y TU y' = y(0) = { = 2 y' = 2te-3y y(0) = 0

Q: dy The solution of the differential equation 2xy dx = x² + 3y² with y(1) = 3 is dx

A: Topic = Differential equation

Q: Solve the differential equation with the appropriate method. Finalize answer equated to y.…

A:

Q: Find a first order differential equation for which y2 sin(xy) + (2xe)cos(x)) = 3 is an implicit…

A:

Q: 2.xy (6) 3. у'%3D x² - y?

A: Given differential equation is y'=2xyx2-y2.

Q: (ii) Show that the differential equation is not exact. (2y² + 3x) dx + 2xydy = 0

A:

Q: Explain how to solve a separable differential equation of the form g(y) y'(t) = h(t).

A: A separable differential equation is one in which the terms of two variables in the term can be…

Q: 4) Solve the differential equation x²y" - 3xy + 7y=0, x > 0.

A: Given differential equation is x2y'' - 3xy' + 7y = 0 , x > 0

Q: Consider the following differential equation to be solved by variation of parameters. y'' + y =…

A:

Q: Solve the given differential equation by undetermined coefficients y’’-14y’+49y=42x+5 y(x)=?

A:

Q: Solve using the non-exact linear differential equation  [ytan(x)(cos(2x))-1]dx+csc(2x)dy=0 when…

A:

Q: B) Solve the following differential equation (use fasy division method). y+ 2y" - 29 y' - 30 y = 0

A: Solution

Q: Q.2 Solve the following differential equati (4x² + y²) (a) y' =

A:

Q: (d) Solve the differential equation given that y(0) = 1. (ex + y)dx +(2+x+ye³)dy = 0,

A:

Q: Solve the differential equation y’=xsqrt(y); y(0)=1

A:

Q: Solve the following a. y' - 5y = e5x; b. y’ + y = xe-* ; c. y' + 4y = 2 cost; y(0) = 4 differential…

A: a. We have to solve the given differential equation.

Q: 7e-3x+2x² -xcosx y' -6y3

A:

Q: (a) Solve the differential equation y' = x/1- 9y2.

A: The given differential equation is a separable differential equation. Hence, we find the solution of…