jee_main_2024_27_jan_morning - Differential Equations Topics

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QUESTION #0 Linear Differential Equations
Let x=x(t) and y=y(t) be solutions of the differential equations (dx)/(dt)+ax=0 and (dy)/(dt)+by=0 respectively, a, b in R. Given that x(0)=2; y(0)=1 and 3y(1)=2x(1), the value of t, for which x(t)=y(t), is:
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QUESTION #23 Reducible to Variable Separable
If the solution of the differential equation (2x+3y-2)dx+(4x+6y-7)dy=0, y(0)=3, is α x+β y+3 ₑ|2x+3y-γ|=6, then α+2β+3γ is equal to:
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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