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Exercise

$y'+4y=\left(t^2\right)\cdot e^{\left(4t\right)}$

Step-by-step Solution

1

Regrouper les termes de l'équation en déplaçant les termes qui ont la variable $y^{\prime}$ vers le côté gauche, et ceux qui ne l'ont pas vers le côté droit.

$y^{\prime}=t^2e^{4t}-4y$

Final answer to the exercise

$y^{\prime}=t^2e^{4t}-4y$

Try other ways to solve this exercise

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  • Solve for t
  • Find the derivative
  • Solve by implicit differentiation
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  • Find dy/dx
  • Dérivé
  • Exact Differential Equation
  • Linear Differential Equation
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Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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