Question

2. (10 points) Solve the differential equation \begin{equation} e^x \frac{dy}{dx} + e^{2x} y = e^{4x}. \end{equation}

          2. (10 points) Solve the differential equation \begin{equation*} e^x \frac{dy}{dx} + e^{2x} y = e^{4x}. \end{equation*}

2. (10 points) Solve the differential equation
e^x (dy)/(dx) + e^2x y = e^4x.

Added by Lisa C.

Differential Equations and Linear Algebra

Stephen W. Goode, Scott A. Annin 4th Edition

Instant Answer

Solved by Expert Craig West

Step 1

We can divide both sides of the equation by e^2ry to isolate the dy term: dy + e^ry * e^(z-rx) dx = 0 Now, let's rearrange the equation to separate the variables: dy = -e^ry * e^(z-rx) dx Show more…

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2âˆš(10 points) Solve the differential equation e dy + e^2ry = e^z dx

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Question

2. (10 points) Solve the differential equation \begin{equation*} e^x \frac{dy}{dx} + e^{2x} y = e^{4x}. \end{equation*}

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2. (10 points) Solve the differential equation \begin{equation} e^x \frac{dy}{dx} + e^{2x} y = e^{4x}. \end{equation}