Question

**Solve the initial value problems.**

**1) x (dy/dx)+ 2y = −sinx/x , y(π) = 0.**

**2) 3y”−y=0 , y(0)=0,y’(0)=1.Use the power series method
for this one . And then solve it using the characteristic
method**

**Note that 3y” refers to it being second order
differential and y’ first**

Answer #1

Y cosx dx + (2Y - sinx)dy=0

find the particular solution for the following initial value
problems
A) x dy/dx +2y = x to the power of 2 +x , y(1)=1

solve for y:
1. dy/dx= xe^y separable
2. x(dy/dx)+3y=x^2 when y(5)=0 1st order linear

Solve the 1st order initial value problem:
1+(x/y+cosy)dy/dx=0, y(pi/2)=0

solve the differential equation
(2y^2+2y+4x^2)dx+(2xy+x)dy=0

(x+1)y'=y-1 2) dx+(x/y+(e)?)dy=0 3)ty'+2y=sint 4) y"-4y=-3x²e3x
5) y"-y-2y=1/sinx 6)2x2y"+xy'-2y=0 ea)y=x' b) x=0
2dx/dt-2dy/dt-3x=t; 2

solve by the integrating facote method the following initial
value problem
dy/dx=y+x, y(0)=0

Solve: (x^4 – xy^3)dy + (2y^4 – x^3y)dx = 0

Use the Laplace transform to solve the given system of
differential equations. dx/dt=x-2y dy/dt=5x-y x(0) = -1, y(0) =
6

Solve the following differential equations.
a.) dy/dx+2xy=x, y(0)=2
b.) ?^2(dy/dx)−?y=−y^2

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago