Differential Equations Answers

U_xx+3U_xy-4U_yy+U_x+4U_y=0 find the canonical form and solve the equation. (general solution)

(xz+yz)dx/dy + (xz-yz)dz/dy = x²+y² find the general solution

find the general and particular solution of dy/dx=-8sin4x ; y=6 when x=0

find the general and particular solution of dy/dx=3y ; y=3 when x=0

dP/dT+2tP=P+4t-2

Z^3=pqxy by jacobi's method

Solve following ODE by method of undetermined coefficients.

(𝑫^𝟐―𝟖𝑫+𝟏𝟓)𝒚=𝟗𝒙𝒆^𝟐𝒙, 𝒚(𝟎)= 𝟓,𝒚′(𝟎)=𝟏𝟎

obtain the general and particular solution for differential equation below

(y - √x²+y²) dx - xdy = 0 when x=√3, y=1

Solve the following linear differential equations

1) dy/dx + 2y = sinx

2) dy/dx + y = e^x

3) dy/dx +(4/x)y = x³y³

find the solution and ususal about the solution uxx=1/100ut , u(0,t)=Ae-dt u(x,0)=0 and ux approaches to 0 as x approahes to zero

(x²-y²-z²) p+2xyz=2xz