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(px-y)( x-py)=2p
Using x^2=u,y^2=u
Find general solution and solveble solutin
X^2p^2+xyp+2y^2=0
Solve the differential equations xy' = x^2 + 3y, for x.
Outline briefly the fundamental idea of jacobi's method of solving non-linear partial differential equation f(x,y,z,p,q)=0. Give its advantage over charpit's method of solving the same equation.
Solve
x^2y"- 2xy' + 2y=x^2+sin(5Inx)
Solve
6y^2dx-x(2x^3+y)dy=0
Outline briefly the fundamental idea of jacobi's method of solving non-linear partial differential equation f(x,y,z,p,q)=0. Give its advantage over charpit's method of solving the same equation
Explain homogeneous and non-homogeneous differential equation and implicit differential equation each with two examples?

) Solve the ODE y+4y+4y= e−2x using the method of variation of parameters x3


dx=(3y2+4yz)dy+(2yz+y2)dz
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