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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
Learn how to solve differential equations problems step by step online.
$\frac{du}{dt}=e^{2u}e^{8t}$
Learn how to solve differential equations problems step by step online. Solve the differential equation du/dt=e^(2u+8t). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Group the terms of the differential equation. Move the terms of the u variable to the left side, and the terms of the t variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{1}{e^{2u}}du and replace the result in the differential equation.