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Differential Equations question

2024 · 1 Feb · Shift 1 · Q51
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  5. /2024 · 1 Feb · Shift 1 · Q51

Differential Equations question

2024 · 1 Feb · Shift 1 · Q51

JEE MainMathematicsDifferential EquationsNumerical+4 / −1
If x=x(t)x=x(t)x=x(t) is the solution of the differential equation (t+1)dx=(2x+(t+1)4)dt,x(0)=2(t+1) \mathrm{d} x=\left(2 x+(t+1)^4\right) \mathrm{dt}, x(0)=2(t+1)dx=(2x+(t+1)4)dt,x(0)=2, then, x(1)x(1)x(1) equals ‾\underline{\hspace{2cm}}​.
Numerical answer
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