Differential Equations Answers

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: Solve Ricatti’s DEq. dy/dx =-2-y-y2 , y1=2


: Solve a Homogeneous DEq. ydx = 2(x + y) dy


y^{'}+6y=4e^{-5x}


given that y1(x)=x1 is 1 solution of differential equation 2 x2 y,, + 3 x y, - y =0 and x>0. find a second end independent solution of the equation


Find the particular solution of nonlinear differential equationΒ 

𝑑𝑦

𝑑π‘₯

=

𝑦

2βˆ’1

π‘₯

, 𝑦(1) = 2.



1. What is integral of tan x dx?

2. What is d/dx sin x?

3. What is integral of e^3x dx?

4. What is d/dx e^7x?


p(p+y)=x(x+y)


Classify and reduce the partial differential equation to it's canonical form

Uxx+U2xy+Uyy =0


Differentiate the following and calculate the value of π’…π’š at the value of x stated: 𝒅𝐱

1. π’š=πŸπ’™πŸ‘ +πŸ’π’™πŸ βˆ’πŸπ’™+πŸ• at 𝒙=βˆ’πŸ

2. π’š=πŸ‘π’™πŸ’ βˆ’πŸ“π’™πŸ‘ +πŸ’π’™πŸ βˆ’π’™+πŸ’ at 𝒙=πŸ‘


(Px-y)(Py+x)=2P