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Question

Differential Equations Question on Differential Equations

Consider the function u:R3→R given by
u(x1,x2,x3)=x1x24x32x13x3426x12x22x33u(x_1,x_2,x_3)=x_1x^4_2x^2_3-x^3_1x^4_3-26x^2_1x^2_2x^3_3
Let CεN be such that
x1ux2+2x2ux3x_1\frac{ ∂u}{∂x_2}+2x_2\frac{ ∂u}{∂x_3}
evaluate at the point (t, t2,t3), eqals ctk for every tεR, The n the value of K is equal to____.

Answer

The correct answer is:14