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(1 + 𝑥^2) (xdy+ydx) =-2yx^2

𝑦′ − 𝑦 = 𝑒2𝑥𝑦3


𝑦′ − 𝑦 = 𝑒^2𝑥𝑦^3


Find the general solution of the Lagrange's equation 2yzp+zxq=3xy?


Find the general solution of the lagrange's equation 2yzp+zxq=3xy?


An insulated rod of length has its ends A and B maintained at O^ C and 100 degrees * C respectively until steady state conditions prevailFind the steady -state temperature of the rod


Determine the number of charecteristic curves of the equation (x^2+2y)uxx+(y^3-y+x) uyy+x^2(y-1) uxy+3ux+u=0 passing through the point x=1 and y=1.

(y+z)p+(z+x)q=x+y


Solve the following first order linear equations



1)dy/dx=e^2x+3y



2)xy×dy/dx=2(y+3)



3)(1+x^2).dy/dx-xy(1+y)=0



4)sinx/1+y.dy/dx=cosx



5)cos^2x.dy/dx=y-3




show that y= c1e^x +c2^2x is the general soloution of ydobledash -3ydash+2y=0


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