If u=e^x(xcosy-ysiny) show that ∂^2u/∂x^2+∂^2u/∂y^2 =0 , partial derivative for B.TECH & B.SC
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![If u=xf(x+y)+yθ(x+y) , prove that ∂^2u/∂x^2 - 2∂^2u/∂x∂y +∂^2u/∂y^2 =0, [B.SC & B.TECH]](https://i.ytimg.com/vi/iEeGj0C9AGY/hqdefault.jpg?sqp=-oaymwEnCNACELwBSFryq4qpAxkIARUAAAAAGAElAADIQj0AgKJDeAG4AvMY&rs=AOn4CLDuPIIX-g_zVwJlUaHCze0_nzNsuA&usqp=CCY)
If u=xf(x+y)+yθ(x+y) , prove that ∂^2u/∂x^2 - 2∂^2u/∂x∂y +∂^2u/∂y^2 =0, [B.SC & B.TECH]
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If z=2-3i,show that z^2-4z+13=0, and hence,find the value of 4z^3-3z^2+16[
If (-1+√3i)^n +(-1- √3i)^n=2^n𝛼, then 𝛼 =(a) 2 (b) -1 (c) 2or -1 (d) none of these
Let z ={z£c:z^2+4z+16=0} Then ∑|z+√3i|^2 is equalto(a) 42 (b) 23(c)27(d)38[JEE MAIN 2026
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